OAI/NumberTheory/TwoPoint/Halasz/HalaszDoubleOscillation.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Two integrations by parts for an affine-weighted logarithmic phase. The exact boundary formula is used on the two sides of a triangular weight.

  1. def OAI.TwoPointCorrelations.halaszLogAmplitude0 line 11
  2. def OAI.TwoPointCorrelations.halaszLogAmplitude2 line 14
  3. def OAI.TwoPointCorrelations.halaszLogAmplitude2Deriv line 18
  4. lemma OAI.TwoPointCorrelations.halasz_log_amplitude0_deriv line 23
  5. lemma OAI.TwoPointCorrelations.halasz_log_amplitude2_deriv line 36
  6. def OAI.TwoPointCorrelations.halaszLogDoublePrimitive line 56
  7. lemma OAI.TwoPointCorrelations.halasz_log_double_primitive_deriv line 60
  8. lemma OAI.TwoPointCorrelations.halasz_log_amplitude2_deriv_continuousOn line 79
  9. theorem OAI.TwoPointCorrelations.halasz_log_double_integral line 98