OAI/NumberTheory/CubicMoment/Estimates/WideGramMellin.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Exact Mellin separation on the entire fixed norm range of a prime convolution. The cutoff belongs to the transform, so no cutoff is inserted into the arithmetic coefficients.

  1. def OAI.CubicFirstMoment.wideGramLogBump line 13
  2. def OAI.CubicFirstMoment.wideGramLogKernel line 16
  3. lemma OAI.CubicFirstMoment.wideGramLogKernel_smooth line 19
  4. def OAI.CubicFirstMoment.wideGramLogSchwartz line 31
  5. lemma OAI.CubicFirstMoment.wideGramLogSchwartz_apply line 37
  6. def OAI.CubicFirstMoment.wideGramMellinCoefficient line 41
  7. lemma OAI.CubicFirstMoment.wideGramMellinCoefficient_integrable line 45
  8. lemma OAI.CubicFirstMoment.wideGramLogKernel_eq_radial line 50
  9. theorem OAI.CubicFirstMoment.wide_radial_mellin_separated line 63