Mean lattice point discrepancy bounds, II: Convex domains in the plane
Classical Analysis and ODEs
2010-04-08 v2 Number Theory
Abstract
We consider planar curved strictly convex domains with no or very weak smoothness assumptions and prove sharp bounds for square-functions associated to the lattice point discrepancy.
Cite
@article{arxiv.math/0501113,
title = {Mean lattice point discrepancy bounds, II: Convex domains in the plane},
author = {Alexander Iosevich and Eric T. Sawyer and Andreas Seeger},
journal= {arXiv preprint arXiv:math/0501113},
year = {2010}
}
Comments
Revised version, to appear in Journal d'Analyse Mathematique