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

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arxiv math/0501113 v2 pith:FQF5IPJY submitted 2005-01-08 math.CA math.NT

classification math.CAmath.NT
keywords boundsconvexdiscrepancydomainslatticepointassociatedassumptions
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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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