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AlexKontorovich/PrimeNumberTheoremAnd

PrimeNumberTheoremAnd

Blueprint for the PNT+ Project

Therefore indexed 1,644 complete source declarations from the exact package revision. Individual authorship and independent verification remain unset.

Research project325 GitHub starsApache-2.09 indexed versionsRepositoryFull history on Reservoir

Head version

a93551347dce

a93551347dce924b1db75d40218841bf085a465f

Toolchain
leanprover/lean4:v4.32.0
Revision date
22 Jul 2026
Dependencies
13
Versions
9

External build observation

Exact head commit and toolchain

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Pin this source in lakefile.lean

require PrimeNumberTheoremAnd from git "https://github.com/AlexKontorovich/PrimeNumberTheoremAnd.git" @ "a93551347dce924b1db75d40218841bf085a465f"

Source declarations

1,644 indexed proofs

Package history

Showing 1,021 to 1,040 of 1,644 declarations.

lemma

Complex.CartanBound.intervalIntegrable_phi_dyadic

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanBound.lean:450

lemma

Complex.CartanBound.intervalIntegrable_phi_div

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanBound.lean:465

lemma

Complex.CartanBound.integral_phi_le_Cφ_mul_small

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanBound.lean:487

lemma

Complex.CartanBound.integral_phi_le_Cφ_mul_large

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanBound.lean:509

lemma

Complex.CartanBound.integral_phi_le_Cφ_mul

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanBound.lean:570

lemma

Complex.CartanBound.integral_phi_div_le_Cφ_mul

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanBound.lean:624

lemma

Complex.Hadamard.max_one_norm_div_pow_le_one_add_rpow

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanInverseFactorBound.lean:40

lemma

Complex.Hadamard.norm_inv_weierstrassFactor_le_exp_near

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanInverseFactorBound.lean:69

lemma

Complex.Hadamard.norm_inv_weierstrassFactor_le_exp_far

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanInverseFactorBound.lean:116

lemma

Complex.Hadamard.cartanProductConstant_nonneg

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PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanMajorantBound · PrimeNumberTheoremAnd/Mathlib/Analysis/Complex/CartanMajorantBound.lean:67

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