OAI/NumberTheory/TwoPoint/ShortIntervals/MRTCosineLower.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

A lower bound for the logarithmic cosine integral uniform even at frequency zero, and the resulting one-sided prime cosine estimate.

  1. lemma OAI.TwoPointCorrelations.mrt_cosine_log_integrable line 14
  2. lemma OAI.TwoPointCorrelations.mrt_cosine_log_nonneg line 22
  3. lemma OAI.TwoPointCorrelations.mrt_cosine_log_lower_pos line 34
  4. lemma OAI.TwoPointCorrelations.mrt_cosine_log_lower line 57
  5. lemma OAI.TwoPointCorrelations.mrt_logarithmic_phase_upper line 69
  6. theorem OAI.TwoPointCorrelations.mrt_prime_cosine_lower line 91