Journal article
Mean lattice point discrepancy bounds, II: Convex domains in the plane
Abstract
We consider planar curved strictly convex domains with very weak (or no) smoothness assumptions on the boundary and prove sharp bounds for square-functions associated to the lattice point discrepancy.
Authors
Iosevich A; Sawyer ET; Seeger A
Journal
Journal d'Analyse Mathématique, Vol. 101, No. 1, pp. 25–63
Publisher
Springer Nature
Publication Date
March 2007
DOI
10.1007/s11854-007-0002-4
ISSN
0021-7670