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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165557In 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.Number TheoryCombinatoricsRank-Crank type PDE's and non-holomorphic Jacobi formstext