Pure and Applied Mathematics Quarterly

Volume 10 (2014)

Number 2

Special Issue: In Memory of Andrey Todorov, Part 3 of 3

Zeta functions for three-dimensional bodies and lattice point problems in the plane

Pages: 355 – 366

DOI: https://dx.doi.org/10.4310/PAMQ.2014.v10.n2.a7

Author

Jonathan Weitsman (Department of Mathematics, Northeastern University, Boston, Massachusetts, U.S.A.)

Abstract

We compute the asymptotic series for generating functions for lattice point problems in the plane. These generating functions are zeta functions associated to bodies in Euclidean space. Our tools are elementary.

Keywords

convex polytope, Euler Maclaurin formula

Published 7 October 2014