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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 1,421 to 1,440 of 1,644 declarations.

lemma

BlaschkeNonzero

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

PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:714

theorem

ZerosBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:808

theorem

JBlaschkeDerivBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:881

lemma

ZetaFixedLowerBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1121

lemma

Zeta1AltFormula

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1187

theorem

GlobalBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1254

lemma

LogDerivZetaBdd_of_Re_ge_three_halves

The logarithmic derivative of the Riemann zeta function is bounded in the half-plane Re(s) >= 3/2.

PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1747

theorem

LogDerivZetaUniformLogSquaredBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1807

lemma

IntegralLogSqOverTSqBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1928

lemma

LogDerivZetaBoundForI1

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:1986

lemma

I1NewIntegrandBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:2004

lemma

I1NewBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:2047

lemma

I5NewBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:2172

lemma

I4NewBound

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:2275

theorem

SmoothedChebyshevPull3

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PrimeNumberTheoremAnd.StrongPNT · PrimeNumberTheoremAnd/StrongPNT.lean:2365

theorem

hardy_sigma_delayed_eq

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PrimeNumberTheoremAnd.Unused.Fejer_I_know_this_is_dirty_but_it_typechecks · PrimeNumberTheoremAnd/Unused/Fejer_I_know_this_is_dirty_but_it_typechecks.lean:68

theorem

hardy_sigma_delayed_tendsto

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PrimeNumberTheoremAnd.Unused.Fejer_I_know_this_is_dirty_but_it_typechecks · PrimeNumberTheoremAnd/Unused/Fejer_I_know_this_is_dirty_but_it_typechecks.lean:83

theorem

hardy_sigma_delayed_sub_s_eq

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PrimeNumberTheoremAnd.Unused.Fejer_I_know_this_is_dirty_but_it_typechecks · PrimeNumberTheoremAnd/Unused/Fejer_I_know_this_is_dirty_but_it_typechecks.lean:128

theorem

hardy_sigma_delayed_bound

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PrimeNumberTheoremAnd.Unused.Fejer_I_know_this_is_dirty_but_it_typechecks · PrimeNumberTheoremAnd/Unused/Fejer_I_know_this_is_dirty_but_it_typechecks.lean:152

lemma

k_n_properties

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PrimeNumberTheoremAnd.Unused.Fejer_I_know_this_is_dirty_but_it_typechecks · PrimeNumberTheoremAnd/Unused/Fejer_I_know_this_is_dirty_but_it_typechecks.lean:177

Static source extraction only. Package code was not executed. Every result keeps its complete declaration, exact file and line range, commit, toolchain, license file, and content hash.