Zeta functions of groups and enumeration in Bruhat-Tits buildings

Simple item page
dc.creatorVoll, Christopher
dc.date2003-05-26
dc.date.accessioned2026-07-07T04:58:17Z
dc.date.available2026-07-07T04:58:17Z
dc.descriptionWe introduce a new method to calculate local normal zeta functions of finitely generated, torsion-free nilpotent groups. It is based on an enumeration of vertices in the Bruhat-Tits building for Sl_n(Q_p). It enables us to give explicit computations for groups of class 2 with small centres and to derive local functional equations. Examples include formulae for non-uniform normal zeta functions.
dc.description32 pages, 1 figure. To appear in Amer. J. Math
dc.identifierhttps://arxiv.org/abs/math/0305360
dc.identifierhttp://arxiv.org/abs/math/0305360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67573
dc.subjectGroup Theory
dc.subjectNumber Theory
dc.subject11M41; 20E07
dc.titleZeta functions of groups and enumeration in Bruhat-Tits buildings
dc.typetext

Files

Collections

arXiv