OAI/NumberTheory/CubicMoment/Estimates/ScaleFirstRoughScales.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The actual roughness survives the fixed-ratio smooth partition and implies precisely the coordinate threshold used in the prime bilinear theorem. No roughness is assumed for a box that vanishes.

  1. lemma OAI.CubicFirstMoment.scaleFirstPrimeTuplePiece_scale_product line 14
  2. theorem OAI.CubicFirstMoment.scaleFirstPrimeTuplePiece_rough_scales line 30
  3. theorem OAI.CubicFirstMoment.scaleFirstPrimeTuplePiece_coordinate_envelope line 61