OAI/NumberTheory/TwoPoint/Bounds/SieveEulerLower.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

The required logarithmic Euler-product lower bound and singular factor.

  1. def OAI.TwoPointCorrelations.sieveEulerFactor line 13
  2. def OAI.TwoPointCorrelations.sieveSingularFactor line 15
  3. lemma OAI.TwoPointCorrelations.sieve_euler_base_pos line 18
  4. lemma OAI.TwoPointCorrelations.sieve_euler_factor_pos line 23
  5. lemma OAI.TwoPointCorrelations.sieve_euler_factor_one_le line 26
  6. lemma OAI.TwoPointCorrelations.sieve_euler_factor_exp line 32
  7. lemma OAI.TwoPointCorrelations.sieve_euler_product_exp line 38
  8. lemma OAI.TwoPointCorrelations.sieve_euler_product_log_lower line 44
  9. lemma OAI.TwoPointCorrelations.sieve_singular_factor_pos line 61
  10. lemma OAI.TwoPointCorrelations.sieve_singular_factor_one_le line 66
  11. lemma OAI.TwoPointCorrelations.sieve_singular_correction_le line 71
  12. lemma OAI.TwoPointCorrelations.sieve_goldbach_product_lower line 84