OAI/NumberTheory/TwoPoint/Halasz/HalaszHurwitzDifference.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Uniform control of the difference between a shifted and unshifted Dirichlet term. This removes the singular first Hurwitz term before continuation into the half-plane with positive real part.

  1. def OAI.TwoPointCorrelations.halaszHurwitzDifference line 18
  2. lemma OAI.TwoPointCorrelations.halasz_shifted_cpow_difference line 21
  3. lemma OAI.TwoPointCorrelations.halasz_hurwitz_difference_norm line 39
  4. lemma OAI.TwoPointCorrelations.halasz_hurwitz_difference_summable line 48
  5. lemma OAI.TwoPointCorrelations.halasz_hurwitz_difference_differentiable line 54
  6. lemma OAI.TwoPointCorrelations.halasz_hurwitz_difference_tsum_differentiableAt line 62