The Reciprocity Law for Dedekind Sums via the constant Ehrhart coefficient
Number Theory
2007-05-23 v1 Combinatorics
Abstract
We obtain a new motivated proof of the reciprocity law for Dedekind sums by computing the constant coefficient of the Ehrhart polynomial for a rectangular triangle in two ways. On the one hand, the constant term is the Euler characteristic, and on the other hand it is given by a cotangent Laurent expansion.
Keywords
Cite
@article{arxiv.math/0305404,
title = {The Reciprocity Law for Dedekind Sums via the constant Ehrhart coefficient},
author = {Matthias Beck},
journal= {arXiv preprint arXiv:math/0305404},
year = {2007}
}