OAI/NumberTheory/TwoPoint/Bounds/OscillatoryThetaError.lean
6 declarations, 0 contain sorry, 0 declared as axioms
Uniform partial summation for (1-cos(t log p))/p, with |t|≤2.
The oscillatory prime estimate is deduced from the theta error.
- def
OAI.TwoPointCorrelations.oscillatoryReciprocalLogline 15Also declared: OAI/NumberTheory/TwoPointCorrelations/OscillatoryThetaError.lean:15 (same declaration text).
- lemma
OAI.TwoPointCorrelations.reciprocalLog_sizeline 18Also declared: OAI/NumberTheory/TwoPointCorrelations/OscillatoryThetaError.lean:18 (same declaration text).
- lemma
OAI.TwoPointCorrelations.reciprocalLog_deriv_sizeline 28Also declared: OAI/NumberTheory/TwoPointCorrelations/OscillatoryThetaError.lean:28 (same declaration text).
- lemma
OAI.TwoPointCorrelations.oscillatoryReciprocalLog_hasDerivAtline 41Also declared: OAI/NumberTheory/TwoPointCorrelations/OscillatoryThetaError.lean:41 (same declaration text).
- lemma
OAI.TwoPointCorrelations.oscillatoryReciprocalLog_boundsline 55Also declared: OAI/NumberTheory/TwoPointCorrelations/OscillatoryThetaError.lean:55 (same declaration text).
- theorem
OAI.TwoPointCorrelations.oscillatory_theta_errorline 83Also declared: OAI/NumberTheory/TwoPointCorrelations/OscillatoryThetaError.lean:83 (same declaration text).