Mean lattice point discrepancy bounds, II: Convex domains in the plane

Details Mean lattice point discrepancy bounds, II: Convex domains in the plane Mean lattice point discrepancy bounds, II: Convex domains in the plane

2005-01-08

arxiv.org/abs/math/0501113v2

Journal d'Analyse Math\'ematique, 101, No. 1 (2007), 25-63.

Mathematics

Classical Analysis and ODEs

Revised version, to appear in Journal d'Analyse Mathematique

Scientific paper

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.

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