The Reciprocity Law for Dedekind Sums via the constant Ehrhart coefficient

Simple item page
dc.creatorBeck, Matthias
dc.date2003-05-28
dc.date.accessioned2026-07-07T04:58:21Z
dc.date.available2026-07-07T04:58:21Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0305404
dc.identifierhttp://arxiv.org/abs/math/0305404
dc.identifierAmerican Mathematical Monthly 106, no. 5 (1999), 459--462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67601
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11L03; 52C05
dc.titleThe Reciprocity Law for Dedekind Sums via the constant Ehrhart coefficient
dc.typetext

Files

Collections

arXiv