OAI/NumberTheory/TwoPoint/Bounds/CosineLogIntegral.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The elementary logarithmic oscillatory integral behind the padding prime estimate. All constants are absolute.

  1. lemma OAI.TwoPointCorrelations.integral_inverse_square line 13
  2. lemma OAI.TwoPointCorrelations.cosine_log_tail line 29
  3. lemma OAI.TwoPointCorrelations.logarithmic_oscillation_nonneg line 107
  4. lemma OAI.TwoPointCorrelations.logarithmic_oscillation_lower_pos line 113
  5. theorem OAI.TwoPointCorrelations.logarithmic_oscillation_lower line 186