OAI/NumberTheory/CubicMoment/Theta/CubicThetaArithmeticCuspMass.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The literal arithmetic remainder is square integrable in every integral cusp in its initial half-plane. The bound keeps the exact hyperbolic density rather than replacing the cusp by a finite region.

  1. lemma OAI.CubicFirstMoment.cubicThetaArithmeticRemainder_cusp_mass_bound line 16
  2. lemma OAI.CubicFirstMoment.cubicThetaArithmeticRemainder_cusp_mass_continuousOn line 34
  3. theorem OAI.CubicFirstMoment.cubicThetaArithmeticRemainder_cusp_mass_integrable line 46