The Reciprocity Law for Dedekind Sums via the constant Ehrhart coefficient

Preprint

28 May 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0305404

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

LAW FOR DEDEKIND
CONSTANT EHRHART
RECIPROCITY LAW
DEDEKIND SUMS
MOTIVATED
EHRHART
HAND

All Related Versions

Version 1, 2003-05-28, ArXiv

This publication has 0 references indexed in Scilit: