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

Alexander Iosevich·Eric T. Sawyer·Andreas Seeger
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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.

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Alexander Iosevich, Eric T. Sawyer, Andreas Seeger. 2005-01-08. Mean lattice point discrepancy bounds, II: Convex domains in the plane. https://arxiv.org/abs/math/0501113

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