On the number of lattice points in a ball

Abstract

We prove a fairly general inequality that estimates the number of lattice points in a ball of positive radius in general position in a Euclidean space. The bound is uniform over lattices induced by a matrix having a bounded operator norm.

References in corpus (1)

• Extremal functions in de Branges and Euclidean spaces

Cited by in corpus (1)

• Euclidean lattices: theory and applications