OAI/NumberTheory/TwoPoint/Halasz/HalaszPrimeTheta.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

A uniform tail form of the fixed-modulus prime-number estimate. Its exponentially decreasing constant pays for the growing frequency factor in the moderate-frequency partial summation.

  1. def OAI.TwoPointCorrelations.halaszPrimeLogWeight line 14

    Also declared: OAI/NumberTheory/TwoPointCorrelations/HalaszPrimeTheta.lean:13 (same declaration text).

  2. lemma OAI.TwoPointCorrelations.halasz_prime_log_weight_split line 17

    Also declared: OAI/NumberTheory/TwoPointCorrelations/HalaszPrimeTheta.lean:16 (same declaration text).

  3. lemma OAI.TwoPointCorrelations.halasz_prime_theta_split line 22

    Also declared: OAI/NumberTheory/TwoPointCorrelations/HalaszPrimeTheta.lean:21 (same declaration text).

  4. theorem OAI.TwoPointCorrelations.ModFiveThetaInput.halasz_prime_tail_error line 27

    Also declared: OAI/NumberTheory/TwoPointCorrelations/HalaszPrimeTheta.lean:26 (same declaration text).