Rank-Crank type PDE's and non-holomorphic Jacobi forms

Simple item page
dc.creatorBringmann, Kathrin
dc.creatorZwegers, Sander
dc.date2008-07-23
dc.date.accessioned2026-07-07T09:52:19Z
dc.date.available2026-07-07T09:52:19Z
dc.descriptionIn this paper we show how Rank-Crank type PDE's (first found by Atkin and Garvan) occur naturally in the framework of non-holomorphic Jacobiforms and find an infinite family of such differential equations. As an application we show an infinite family of congruences for odd Durfee symbols, a partition statistic introduced by George Andrews.
dc.identifierhttps://arxiv.org/abs/0807.3603
dc.identifierhttp://arxiv.org/abs/0807.3603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165557
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.titleRank-Crank type PDE's and non-holomorphic Jacobi forms
dc.typetext

Files

Collections

arXiv