chars int64 40 24k | content_type stringclasses 9
values | id stringlengths 13 64 | source stringclasses 5
values | subset stringclasses 31
values | text stringlengths 40 24k |
|---|---|---|---|---|---|
10,712 | lean_file_chunk | 2bca3569694883fefb2dd5a3a052de41758faf6190b6b9dbf5d485b657809d79 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import LeanPool.OddPrimeValuationDistribution.Kummer
import Mathlib.Data.Nat.Digits.Lemmas
import Mathlib.Tactic.Ring
/-!
# Doubling carries in an arbitrary odd base
Write ... |
9,706 | lean_file_chunk | cc61b42963bd98f57f8debd068e36c452bb2b003f9417e638963b151f51609bd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import LeanPool.OddPrimeValuationDistribution.CarryArithmetic
import Mathlib.Algebra.BigOperators.Fin
import Mathlib.Algebra.Polynomial.Coeff
import Mathlib.Data.Fintype.Vect... |
2,351 | lean_file_chunk | 3f5be07ae05df49d10dab1563e3a2a941ee9dbf9277bc65a2b951da411c371ab | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import LeanPool.OddPrimeValuationDistribution.ValuationBlocks
import Mathlib.RingTheory.PowerSeries.Basic
/-!
# Bivariate generating function for odd-prime valuation distrib... |
1,068 | lean_file_chunk | cbf19270ce8543dc6ae9e4e38960995ee740da053059b7b6c836abbd19b284b2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import Mathlib.NumberTheory.Padics.PadicVal.Basic
/-!
# Kummer's digit formula for central binomial coefficients
This module specializes Kummer's theorem to `Nat.centralBin... |
6,651 | lean_file_chunk | b271c81e03dc24f1945f94f24179b1465ef58d92451bff828170c37bab718ce7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import LeanPool.OddPrimeValuationDistribution.GeneratingFunction
import Mathlib.Tactic.Ring
/-!
# Closed low-valuation counts for every odd prime
The full distribution spec... |
5,470 | lean_file_chunk | 51962b9ca59861f9956f3bca38b1cb378db1b12ee66d42035a987f1949d18aab | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import LeanPool.OddPrimeValuationDistribution.CarryPolynomial
import Mathlib.Data.Fintype.EquivFin
/-!
# Exact central-binomial valuation distributions for odd primes
For t... |
555 | lean_file_chunk | 9dc2a24135e4b5e4127670f516746dbded250ed9449075f20865ac5be4eb9b8c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Egor Lyfar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egor Lyfar
-/
import LeanPool.OddPrimeValuationDistribution.LowValuations
/-!
# Exact odd-prime distributions of central-binomial valuations
Source: doi:10.1515/crll.1852.44.93
Authors:... |
17,007 | lean_file_chunk | 79da0d3a720fea1462b770dc70c0931d5ea15256af8eebcaf212045ea6ed7c40 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FundamentalConeSeries
public import LeanPool.Odlyzko.DedekindZeta.IdealSeries
public import Mathlib.Data.Fintyp... |
5,574 | lean_file_chunk | 9c56aea7b393a45c01d20fae7262de6c097ae008bb30a0baeb05027f7324dcee | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaRadial
public import LeanPool.Odlyzko.CompletedZeta.LogarithmicMellinHalfIntegral
/-! TODO: Add doc-... |
16,570 | lean_file_chunk | 15e34100a926d5846924a5d7d551d5e209d08e8a804d93990e24407410aedf80 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaCenteredReflection
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaIntegral
/-! TODO: Add doc... |
11,703 | lean_file_chunk | e292467f3cecfeab0c0261d1d63fb821371ce739d96eb80e9e3aff8a64e243de | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaCenteredRepresentative
public import Mathlib.Analysis.Calculus.ParametricIntegral
/-! TODO: Add doc-... |
6,498 | lean_file_chunk | e0e7f3cf8611839f47d1413e5d432efbb4a32aa5127c9f9337e5bd983c0b466e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaCenter
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open Complex M... |
9,488 | lean_file_chunk | 34c59db330e9a727b34b0fe0030c4f4806cc90c2536d37c790f8390fd1f6dba1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaCenteredContinuation
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
... |
4,539 | lean_file_chunk | 6cb832f52fdb74c5f0eaeeacbc8ea2c69114b68ed0f34340418405755c0f6e03 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassRepresentatives
public import LeanPool.Odlyzko.CompletedZeta.ShapeMellinTranslation
public import LeanPool... |
1,362 | lean_file_chunk | 9245fafa9497cb0661f50870b750408872fe3c6afe1f6ba03dea39273f388863 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaIntegral
public import LeanPool.Odlyzko.CompletedZeta.TraceDualClass
/-! TODO: Add doc-string. -/
@... |
1,812 | lean_file_chunk | 7601dab1479fb4d5ef5319ddbec48b2bcea3e432306c786d0336baede891f30d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaPoisson
public import LeanPool.Odlyzko.CompletedZeta.UnitSlabRadial
/-! TODO: Add doc-string. -/
@[... |
2,889 | lean_file_chunk | a8ee51faf6ffa2e26e4ee15ed70708e3bb31a99f572db334410ac6fd9b8bfe07 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FundamentalConeSeries
public import LeanPool.Odlyzko.CompletedZeta.UnitAveragedGaussian
/-! TODO: Add doc-stri... |
4,034 | lean_file_chunk | a1dfb2ffb4f0acc1d328a5958a226a1397855d213515f2041abd613c880c54f4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ConeGaussianIntegral
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open Compl... |
9,395 | lean_file_chunk | ba274bdcf112339ec55d121c7c7e3befd958db4e8dee8484808abe0cc866f46f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ConeGaussianInterchange
public import LeanPool.Odlyzko.CompletedZeta.UnitDecomposition
/-! TODO: Add doc-strin... |
1,671 | lean_file_chunk | cf5cb50786e19742a414ecc237fecac23227de99951f9cc2304fcb14396c2431 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.SpecialFunctions.Gamma.Deligne
public import Mathlib.NumberTheory.NumberField.DedekindZeta
/-! TODO: Add doc-string. -/
@[e... |
23,930 | lean_file_chunk | 0530b449931137b518fccd6b37cb0662ea239b671a485813ea899ac332939af6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.RadialKernelFormula
public import LeanPool.Odlyzko.Theta.PoissonSummation
public import LeanPool.Odlyzko.Theta.... |
18,718 | lean_file_chunk | 4b8c29b36f6d6ce4eb5b237052f1564408a5d7ebade14a9824a582a7fd563397 | lean_source_file | lean_pool_source_file_chunks | (shapeIdealLattice K (FractionalIdeal.mk0 K J) q hq) Real.pi_pos
have hs : Summable f := by
have h := (Equiv.summable_iff
(idealElementShapeEquiv K J q hq)).mpr hsL
exact h.congr fun x ↦ by
dsimp only [Function.comp_apply, f]
rw [idealElementShapeEquiv_coe,
← complexPlaceGaussian_eq_... |
16,466 | lean_file_chunk | 15e9248ac0865dcc3424ac77b3240e573ae25ae6ac5d689e00cbc457b647032d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaCenteredHolomorphy
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
se... |
7,402 | lean_file_chunk | 79f86bad495bb8864300b26ebd3c42f40eb36fddae09bfc0151a056f77a36f9c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FunctionalEquation
public import LeanPool.Odlyzko.CompletedZeta.RightHalfPlane
/-! TODO: Add doc-string. -/
@... |
7,391 | lean_file_chunk | 5e006f0326b32add560d26725ba5744e2c4e585eaa5c72567d3b95c08635ead5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.Convergence
public import LeanPool.Odlyzko.DedekindZeta.FiniteFiberSeries
public import Mathlib.NumberTheory.LSe... |
3,459 | lean_file_chunk | ebe865f26c5a173fddfa1cb87a6d3f6b0ca7d4f31c5c3be80991f6bbcfea36f1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.Defs
public import Mathlib.Analysis.Calculus.LogDeriv
public import Mathlib.Analysis.SpecialFunctions.Gamma.Dig... |
10,393 | lean_file_chunk | 43b25f593b89ec1591ea96789278d212f0224adf3c741734ae07d8c9d9338426 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ConeGaussianRadial
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open Ideal I... |
5,999 | lean_file_chunk | b7c7d0f24ada370aea32c90ba1df31513ddc8e11aebd535ec1798cc5f33a1dd3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.IdealElementDecomposition
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open ... |
3,856 | lean_file_chunk | 17c0ca81b9f83461eabfa1faf48350940d8189027dae3071b1d06ce99056311a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ShapeMellinTranslation
public import LeanPool.Odlyzko.CompletedZeta.UnitSlabRadialIntegral
/-! TODO: Add doc-s... |
14,149 | lean_file_chunk | 459802e33e60d752f497473f23a7479550e584b6fce9cc26a503cc8cf2b1c9ef | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.IdealThetaUnfolding
public import Mathlib.MeasureTheory.Function.LpSpace.InfiniteSum
public import Mathlib.Meas... |
6,675 | lean_file_chunk | 8bea77e84f572ca42077b3bea5f9c463197ac8501752b1c96d9edf0fe9a61518 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.Defs
public import LeanPool.Odlyzko.CompletedZeta.TotallyComplex
public import LeanPool.Odlyzko.DedekindZeta.Co... |
3,255 | lean_file_chunk | 7b55f83569d4ce855e5de0abc23e2c283a37092c8e622f74fef0be83854236b9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ShapeThetaPeriodicity
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open Comp... |
3,086 | lean_file_chunk | 251857f2886373924295560fed5211a0291ca06f2af77c39bc3ed562e07123a7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FractionalShapeTheta
public import LeanPool.Odlyzko.CompletedZeta.UnitSlabTranslation
/-! TODO: Add doc-string... |
1,897 | lean_file_chunk | 5b786634fe7c20ee926563c624f8a5d2fc55b5d134d7c9782de0aaaca9db1461 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.GammaFactor
public import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
/-! TODO: Add doc-... |
2,575 | lean_file_chunk | 5c4c1e6a63879766f147ee97c1a95d2329c27ff1b612c6b9390c22832b3f5d93 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassRepresentatives
public import LeanPool.Odlyzko.CompletedZeta.FractionalShapeTheta
public import LeanPool.O... |
12,185 | lean_file_chunk | d13a454983b54b6eecb69ad336d5ddee9e5d26210ca16f8ac335cc8ea94d6eb4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.GammaFactor
public import LeanPool.Odlyzko.CompletedZeta.UnitFundamentalDomain
public import Mathlib.Analysis.M... |
3,419 | lean_file_chunk | ffb0a3e5ceb711c6f1983d4f439131fb891e3fc58a3ccdb8eb061a38d139d423 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.UnitFundamentalDomain
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open Numb... |
9,970 | lean_file_chunk | c54c4284cf190afc4288db12d6b8078cde87e02a48a213a1430a0b237f645038 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
public import Mathlib.Algebra.Order.Floor.Ring
/-! TODO: Add doc-string. -/
@[... |
17,260 | lean_file_chunk | f1fd291728ce859ac10572fe2ce76677217a050226851f1da9fec14ccf7dd54c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.UnitSlabTranslation
public import Mathlib.MeasureTheory.Measure.Lebesgue.Integral
/-! TODO: Add doc-string. -/... |
5,059 | lean_file_chunk | c5db63f9f9d9054bc1f41da9e996c66acf5b7caedc53101dab1a2929851717db | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.UnitSlabRadial
public import Mathlib.Analysis.SpecialFunctions.ImproperIntegrals
/-! TODO: Add doc-string. -/
... |
8,719 | lean_file_chunk | 30e64326db7ccda333bae4e7793cb579a28454e6ce4ce1c773588cec22a71997 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.UnitFundamentalDomain
public import Mathlib.MeasureTheory.Integral.IntegrableOn
/-! TODO: Add doc-string. -/
... |
10,501 | lean_file_chunk | fdb092f3a1df868b49be34d1dc26eded8a24ec6078e5119752522f88c8076ed3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.ClassThetaCenteredHolomorphy
public import LeanPool.Odlyzko.CompletedZeta.FunctionalEquation
/-!
# Vertical Gr... |
17,455 | lean_file_chunk | 5ce82ccf500b7ee3f5ec1e30e8b33699a6d243e4b562d6a16417a1eebaa2f55c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FunctionalEquation
public import LeanPool.Odlyzko.CompletedZeta.GammaFactor
public import LeanPool.Odlyzko.Comp... |
771 | lean_file_chunk | 1395eee9fdf84c7720cde0cd3dccbc6eb346a1c21a7d935bc1b49fc8240f863e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Imperial College London. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.NumberTheory.NumberField.DedekindZeta
/-!
# Coefficients
Supporting definitions and lemmas for the Odlyzko-bound formalizati... |
2,037 | lean_file_chunk | 6ed85452df929fb8165584563349ad3aabdffde2c717bad94259cc3fd303262f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.Coefficients
public import Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics
public import Mathlib.NumberTheory.... |
3,881 | lean_file_chunk | b779adc6a700c2b1be3c3b4de392ee784082a8a83ad065b06f0c176a5a56e5c1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.NumberTheory.LSeries.Basic
public import Mathlib.Topology.Algebra.InfiniteSum.Constructions
/-! TODO: Add doc-string. -/
@[expose] p... |
3,532 | lean_file_chunk | 3d6be6021c691ec47c620f8478a4981b634221247e1d3ff95e0a8aaada6111e2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.RingTheory.DedekindDomain.Factorization
public import Mathlib.NumberTheory.NumberField.Basic
/-! TODO: Add doc-string. -/
@[expose] ... |
5,807 | lean_file_chunk | c6e62c0f1d581b20a364f5b18b8217e9842f1fbd47a5c45ed3c95a1e2e3065e6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.Convergence
public import LeanPool.Odlyzko.DedekindZeta.FiniteFiberSeries
public import LeanPool.Odlyzko.Dedekin... |
2,217 | lean_file_chunk | 8adb5c0ac1172d07ded8735c9a382826d2742469f1cec0e1fb202278b2de19bc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Imperial College London. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.Coefficients
public import Mathlib.Analysis.SpecialFunctions.Pow.Deriv
/-!
# Local Factor
Supporting d... |
18,792 | lean_file_chunk | ef9d8749c77c595e6c31fe8d1c2d29f95768076ad4c2bb5ea988049cd324e6c8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.IdealPrimeFactorization
public import LeanPool.Odlyzko.DedekindZeta.IdealSeries
public import LeanPool.Odlyzko.D... |
1,286 | lean_file_chunk | a043d446d3f5862d2ec0fccffc43ca4618bc17862e3e917d4466728716451be2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Imperial College London. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.LocalFactor
public import Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
/-! TODO: Add doc-string. -/
... |
7,424 | lean_file_chunk | fde1621f7a6d363fa372e234384bb769121a1e36cee2ea4e655d3664aff696e1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.Convergence
public import LeanPool.Odlyzko.DedekindZeta.PrimeIdealFactor
public import Mathlib.Analysis.SpecialF... |
13,446 | lean_file_chunk | 3148c6c47e326cd5ee1cf3f5134e4757511fcabb6c792b509b2ec5258d846ded | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.LocalFactor
public import LeanPool.Odlyzko.DedekindZeta.PrimeIdealEulerProduct
public import LeanPool.Odlyzko.De... |
583 | lean_file_chunk | 6e811b7fd8c081b74ff389809708b8f9f5cecfda46ee089bdb053233c300e12e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Stefan Kebekus. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stefan Kebekus
-/
module
public import Mathlib.Analysis.Complex.CanonicalDecomposition
public import Mathlib.Analysis.Meromorphic.TrailingCoefficient
public import Mathlib.Analysis.No... |
23,993 | lean_file_chunk | ee16ed422e2234eb876c853c736f862f356f6376e88db97514c0aad632786e1c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.VerticalGrowth
public import LeanPool.Odlyzko.CompletedZeta.VerticalLowerBound
public import LeanPool.Odlyzko.E... |
23,987 | lean_file_chunk | 66c7f6c48a9e355378590993b1f01584def4d704704310f731cf6d2330296e6e | lean_source_file | lean_pool_source_file_chunks | have hcanonical :
(∏ᶠ u, canonicalFactor R u ^
(-MeromorphicOn.divisor f (ball 0 R) u)) = B := by
apply finprod_congr
intro u
funext z
simp [D, centeredCanonicalZeroFactor, canonicalZeroFactor]
have hevent : f =ᶠ[codiscreteWithin U] B * g := by
filter_upwards [hg.eventuallyEq] with z... |
12,678 | lean_file_chunk | 61c9b4d47bd63e71a3b99e7075f35ae6792c3c0a1e3cd4e998cd52985e3f004a | lean_source_file | lean_pool_source_file_chunks | change ‖logDeriv F w‖ ≤ _ at hlocal
rw [show F = f ∘ (fun x : ℂ ↦ c + x) by grind, hcomp] at hlocal
grind
end NumberField.Odlyzko
end
section
open Complex Metric Set
namespace NumberField.Odlyzko
open Classical in
theorem AnalyticOnNhd.eq_zero_of_mem_divisor_support
{f : ℂ → ℂ} {U : Set ℂ} {z : ℂ}
(hf... |
8,798 | lean_file_chunk | 1178322a664647a49636f40dccbe21eeae7b8664ee726e2be444b8d43ffe6b10 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FunctionalEquationLogDeriv
public import LeanPool.Odlyzko.ExplicitFormula.WeightedDiskArgumentPrinciple
public ... |
2,472 | lean_file_chunk | f6a6fcb6d1975a497056d130b0a0dcb8ca4c791fc5b2ab4579c4a66c1fda3c57 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.MeasureTheory.Measure.Real
public import Mathlib.MeasureTheory.Measure.Lebesgue.Basic
/-!
# Finite Set Avoidance
Supporting definiti... |
23,997 | lean_file_chunk | 8d77588423cc5bc277f2bc6817cce1dee57dc8c189390404badcfe6136c6a615 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.Complex.LocallyUniformLimit
public import Mathlib.Analysis.Normed.Field.Lemmas
public import Mathlib.Analysis.PSeries
public ... |
20,117 | lean_file_chunk | 2b4b8c144e99550ef68fca32f923f3f69d5ae616f52038ec912c1949e3996a8d | lean_source_file | lean_pool_source_file_chunks | isBounded_iff_forall_norm_le.mp hK.isBounded
have hsubset :
K ⊆ {s : ℂ | 0 < s.re ∧ ‖s - 1‖ ≤ C + 1} := by
intro s hsK
refine ⟨hKsub hsK, ?_⟩
exact (norm_sub_le s 1).trans
(by simpa using add_le_add_right (hC s hsK) 1)
have huniform :=
(tendstoUniformlyOn_gaussDigammaPartialSum (C + 1)).... |
23,955 | lean_file_chunk | dbdc8baa8dcd8caabb5531b239aea39a69c2af9429d170fc1e4c8585cd8531e8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.CompletedZetaCenterLogBound
public import LeanPool.Odlyzko.ExplicitFormula.CompletedZetaRectangle
public impo... |
23,969 | lean_file_chunk | 98530cd6d7abe88845cf4eb63c236ecd333793495817f1ba75b5a55427b920fb | lean_source_file | lean_pool_source_file_chunks | have hre : -5 ≤ z.re - 2 ∧ z.re - 2 ≤ 5 := by
exact ⟨by linarith [hz.1.1], by linarith [hz.1.2]⟩
have him :
-(11 / 2 : ℝ) ≤ z.im - (A + 1 / 2) ∧
z.im - (A + 1 / 2) ≤ 11 / 2 := by
exact ⟨by linarith [hz.2.1], by linarith [hz.2.2]⟩
simp only [sub_re, add_re, ofReal_re, mul_re, ofReal_im, I_re, I... |
17,919 | lean_file_chunk | 93c73ca61b7063c66d5ef20ebcc4105679fbc2a98b92d4d5c54b750ff7341b68 | lean_source_file | lean_pool_source_file_chunks | ‖poitouTransform (regularizedScaledTartar y δ) (σ + T * I)‖ *
(Q * ((n : ℝ) + 7) ^ 2 + 2) := by
gcongr
exact (norm_sub_le _ _).trans (add_le_add hlog hpole)
_ ≤ ‖poitouTransform (regularizedScaledTartar y δ) (σ + T * I)‖ *
((4 * Q + 2) * |T| ^ 2) := by
gcongr
nlinarith [mul_l... |
4,831 | lean_file_chunk | a4f5b82b38a416cebe3328ab338f6350f8506e9af40d5901d5ee3c4bcd7e5c82 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.ComplexFourier
/-!
# Poitou Transform
Supporting definitions and lemmas for the Odlyzko-bound formalization.
-... |
23,954 | lean_file_chunk | babaeb07b9dc8c3abdaf60ed392de0a5d0e8bbb90dfc8683b3c41e3aa7832be0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.CompletedZeta.FunctionalEquationLogDeriv
public import LeanPool.Odlyzko.CompletedZeta.RightHalfPlane
public import LeanPool.O... |
23,976 | lean_file_chunk | d99691483de82673bcb4f3c7380b3b8087cecfe430ad34ccc92b329edcf778ee | lean_source_file | lean_pool_source_file_chunks | open scoped Convolution FourierTransform RealInnerProductSpace
namespace NumberField.Odlyzko
private theorem tartarWeightConvolution_integrable :
Integrable tartarWeightConvolution := by
have h := complexTartarWeight_convolution_integrable
apply h.norm.congr
filter_upwards [] with x
rw [complexTartarWeigh... |
23,987 | lean_file_chunk | 84cada25a9c5a68d70383541376764122a1eecd7fbe013258dd17da7fd399a76 | lean_source_file | lean_pool_source_file_chunks | logDeriv (poleClearedCompletedDedekindZetaContinuation K) s)
(-ε) (1 + ε) (-T) -
horizontalIntegral
(fun s ↦ poitouTransform (regularizedScaledTartar y δ) s *
logDeriv (poleClearedCompletedDedekindZetaContinuation K) s)
(-ε) (1 + ε) T +
(2 : ℂ) • verticalSegment... |
23,967 | lean_file_chunk | 170a3b0fdb23d9f8aa8e5f67b4d8ee13efde334c5fc76bc429637cc1fcb9b87e | lean_source_file | lean_pool_source_file_chunks | rw [Real.sqrt_eq_rpow, ← Real.rpow_natCast]
rw [← Real.rpow_sub htpos]
grind]
theorem integrable_sqrt_add_abs_mul_norm_poitouTransform_regularized
{δ : ℝ} (hδ : 0 < δ) (y σ : ℝ) :
Integrable (fun t : ℝ ↦
Real.sqrt (|σ - 1| + |t|) *
‖poitouTransform (regularizedScaledTartar y δ) (σ... |
16,738 | lean_file_chunk | 129ef4bbc218a6b9677ea0d70f4f0114557714e6e67c856ad07769e60478a0b3 | lean_source_file | lean_pool_source_file_chunks | (Real.eulerMascheroniConstant +
Complex.log (2 * (Real.pi : ℂ))) := by
have harch :=
integral_poitouTransform_regularized_mul_digamma_add_euler
hδ y (zero_lt_one.trans hσ)
have hmass :=
integral_poitouTransform_regularized_vertical hδ y σ
have hconstValue :
(∫ t : ℝ,
... |
23,957 | lean_file_chunk | ab7b17f67f06a7bb96be73283116c2a599015fb0db526c0c0b679471688cb483 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.PoitouTransform
public import LeanPool.Odlyzko.ExplicitFormula.RegularizedTartarTransform
public import LeanP... |
23,547 | lean_file_chunk | 1ee1b5b59e1e801324e1c7745c0174be0b3ac2287f4326abc99efa0f7b416f02 | lean_source_file | lean_pool_source_file_chunks | f x / (4 * c) + f x * sh ^ 2 / (2 * c ^ 3)| ≤
|f'' x / c| + |f' x * sh / c ^ 2| +
|f x / (4 * c)| + |f x * sh ^ 2 / (2 * c ^ 3)| := by
have h₁ := abs_add_le
(f'' x / c - f' x * sh / c ^ 2 - f x / (4 * c))
(f x * sh ^ 2 / (2 * c ^ 3))
have h₂ := abs_sub
(f'' x / c - f' x... |
17,530 | lean_file_chunk | 6c6e9ae4d3605955eac3234aed8f4071bc30d70739360bdbc112152bde0a6b0a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.DedekindZeta.PrimePowerExpansion
public import LeanPool.Odlyzko.ExplicitFormula.RegularizedPoitouQuadraticDecay
public import... |
2,514 | lean_file_chunk | b62f4c71e4feeb90439e21a9229294d4310aec4a23500d2c9ef0f7940c5d46a7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.TartarPoitouTransform
/-!
# Regularized Tartar
Supporting definitions and lemmas for the Odlyzko-bound form... |
8,057 | lean_file_chunk | a18ec5672cd8226dcb5e66015656010cfa170b83fcf46681fd8cdbcfa4fb960c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.RegularizedTartar
public import Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral
public import Mat... |
5,725 | lean_file_chunk | 18aacc04f6fa09d8a6f54c9fcc028c8ac78797b0105d726152831403fc2fcc21 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.PoitouTransform
public import Mathlib.Analysis.Calculus.ParametricIntegral
/-!
# Tartar Poitou Transform
Su... |
5,722 | lean_file_chunk | dab0084582f0c25af9058616cff4d22951ebe34b82e972ef4dda9927b07dbb9c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.FromPrimeNumberTheoremAnd.LogDerivativeResidue
public import Mathlib.Analysis.Analytic.IsolatedZeros
/-!
# Weighted Disk Arg... |
11,688 | lean_file_chunk | 06a7c4f96cc14a871db092f075038df382ef0205f2bfb962dd4de7d27bb3987e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.FromPrimeNumberTheoremAnd.RectangleIntegral
public import LeanPool.Odlyzko.ExplicitFormula.WeightedDiskArgumentPrinciple
/-!... |
950 | lean_file_chunk | 7514141ea173363d6310b78b079e4f0e956025babd8a2f3e0ebb150a7e69b84f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.CompletedZetaRectangle
public import Mathlib.Order.Interval.Set.Infinite
/-!
# Zero Free Rectangles
Support... |
2,863 | lean_file_chunk | 915c4a6ab86553eaf5da8e4df42607589dd9857bf2994262d0dc80f8931f5830 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.Calculus.LogDeriv
public import Mathlib.Analysis.Complex.CauchyIntegral
public import Mathlib.Analysis.Meromorphic.Divisor
pu... |
13,044 | lean_file_chunk | 1c798f6951e87f2549904e794836d131729189f860bcdeb87ce6c3188ff1fb38 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.Complex.CauchyIntegral
public import Mathlib.Analysis.SpecialFunctions.Integrals.Basic
/-! Adapted from [PNT+](https://githu... |
914 | lean_file_chunk | 483b595add8d6998f3292a05c729523e2d7b62ea475ce539528e09e9432ee9b7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.Real.Pi.Bounds
/-! TODO: Add doc-string. -/
@[expose] public section
namespace NumberField.Odlyzko
/-- An odlyzko scale u... |
5,616 | lean_file_chunk | 4111e3ec9e4ea6f472c5995a2c1d594e03b4f0861294d231b0e53669f0557aa9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.Numerics.Tail
public import LeanPool.Odlyzko.TestFunction.Amplitude
public import LeanPool.Odlyzko.TestFunction.Quadratic
pub... |
20,305 | lean_file_chunk | 9732dac28c5ee7b967c2cad1f1e3c60c9f12589b67ad6a1ad44bc220edaad084 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.Numerics.Degree
public import LeanPool.Odlyzko.Numerics.Integrability
public import LeanPool.Odlyzko.Numerics.Tail
public imp... |
3,731 | lean_file_chunk | 3009012a197554c272dc04e47e28a0c9fcd1826e37e26c3a47d707e6dc3f33ca | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.Complex.ExponentialBounds
public import Mathlib.Analysis.SpecialFunctions.Trigonometric.DerivHyp
/-! TODO: Add doc-string. -... |
916 | lean_file_chunk | 5bbd63566d8d25310b8dc53016e23fe9ba75ad0a43f7a70eb93ed0ca731bf29f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.NumberTheory.NumberField.Discriminant.Basic
/-! TODO: Add doc-string. -/
@[expose] public section
open NumberField Module
variable... |
1,485 | lean_file_chunk | 1e4b112d70626ea5591ab338031ba5d26e9b8461845b1eafc5c09b268b025a14 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.Basic
public import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
/-! TODO: Add doc-string. -/
@[expose... |
2,072 | lean_file_chunk | 85bcadfaf21ca793b6a5fbe8f6528fe30b6acdbf5038dd04785e58a17465728b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
public import Mathlib.Topology.Order.Lattice
/-! TODO: Add doc-string. -/
@[expose] pu... |
5,203 | lean_file_chunk | cd37bc9266cf9de455eca9551b61bbb5b84854eb532dd5dee400aac1b985a5e7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.Fourier
public import Mathlib.Analysis.SpecialFunctions.ImproperIntegrals
public import Mathlib.Analysis.Special... |
14,443 | lean_file_chunk | 3d84005a5adf1771ba7299dac1203688f22a8e049d925ce3bbef986aef27354a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.Amplitude
public import LeanPool.Odlyzko.TestFunction.Bounds
public import Mathlib.Analysis.Calculus.LHopital
pu... |
5,839 | lean_file_chunk | a567cd4f3f21661d5859fe774b716ac1a37fb6fb1943835beaab014e7e249614 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.Amplitude
public import LeanPool.Odlyzko.TestFunction.Basic
public import Mathlib.Analysis.SpecialFunctions.Inte... |
3,884 | lean_file_chunk | c533fc7bed55a8f5ae4cfcd3ee03da2d893899b35761825d6eb6fc2d743bf453 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.Fourier
public import Mathlib.Analysis.SpecialFunctions.Integrals.Basic
public import Mathlib.Analysis.SpecialFu... |
11,327 | lean_file_chunk | adccb6b3674ee25775efca8b34398aaccdad1eefe013b711ac9ad3eb7057dccf | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.ExplicitFormula.RegularizedTartar
public import LeanPool.Odlyzko.TestFunction.Fourier
public import Mathlib.Analysis.Calculus... |
9,394 | lean_file_chunk | a09f573577eb026608ed0527d816d8f210dc1878d74fd357285a81cd52a1455a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.TestFunction.Quadratic
public import Mathlib.Analysis.Calculus.Taylor
public import Mathlib.Analysis.SpecialFunctions.Trigono... |
23,998 | lean_file_chunk | 8c4099a3e1beb32bf5893022f821b6229a6c836ba310500101a407adde01d1b0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.Algebra.Module.ZLattice.Covolume
public import Mathlib.Algebra.Module.ZLattice.Summable
public import Mathlib.Analysis.Fourier.AddCirc... |
23,820 | lean_file_chunk | f49490af5cd2bba63cad7aafdf6095f85897fda3b968151c1d229786be4800e6 | lean_source_file | lean_pool_source_file_chunks | variable {ι : Type*} [Fintype ι] [DecidableEq ι]
/-- A coordinate int lattice used in the Odlyzko-bound argument. -/
noncomputable def coordinateIntLattice : Submodule ℤ (ι → ℝ) :=
span ℤ (Set.range (Pi.basisFun ℝ ι))
/-- A coordinate int basis used in the Odlyzko-bound argument. -/
noncomputable def coordinateIntB... |
2,325 | lean_file_chunk | 2e575158f82a19fe317c8edf9c48b9c532271fd53a8fb9ac3a88c1ade2ffbe8c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import Mathlib.NumberTheory.NumberField.Discriminant.Different
/-! TODO: Add doc-string. -/
@[expose] public section
noncomputable section
open s... |
20,283 | lean_file_chunk | 7b717abc36a5c325864c0dd13b7193efcc540b6f9b3fa43878f6011fc5be655e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project
-/
module
public import LeanPool.Odlyzko.Theta.PoissonSummation
public import LeanPool.Odlyzko.Theta.TraceDualIdeal
public import Mathlib.NumberTheory.NumberField.Can... |
1,059 | lean_file_chunk | 24eeaede4986aba4111a9bea5ab6d194f9fa89feb52d71f9a701bad63a05afd9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 The FLT Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: The FLT Project, √2
-/
import LeanPool.Odlyzko.ExplicitFormula.PoitouEstimate
/-!
# Poitou's Explicit Odlyzko Bound for Root Discriminants
Source: url:https://www.numdam.org/item/S... |
14,621 | lean_file_chunk | b7ae3977db5d30fd064f8a2239cf75551a194bf71e38bac64e82973899feb723 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Scott Harper, Peiran Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Harper, Peiran Wu
-/
import Mathlib.GroupTheory.Sylow
import LeanPool.OrderPQ.MulZMod
import LeanPool.OrderPQ.SemidirectProduct
/-!
# LeanPool.OrderPQ.Basic
-/
attrib... |
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