Rank-Crank type PDE's for higher level Appell functions
Number Theory
2009-08-28 v1
Abstract
In this paper we consider level l Appell functions, and find a partial differential equation for all odd l. For l=3 this recovers the Rank-Crank PDE, found by Atkin and Garvan, and for l=5 we get a similar PDE found by Garvan.
Cite
@article{arxiv.0908.4007,
title = {Rank-Crank type PDE's for higher level Appell functions},
author = {Sander Zwegers},
journal= {arXiv preprint arXiv:0908.4007},
year = {2009}
}
Comments
Preprint, 10 pages