Andrews Style Partition Identities
Combinatorics
2013-02-28 v1
Abstract
We propose a method to construct a variety of partition identities at once. The main application is an all-moduli generalization of some of Andrews' results in [5]. The novelty is that the method constructs solutions to functional equations which are satisfied by the generating functions. In contrast, the conventional approach is to show that a variant of well-known series satisfies the system of functional equations, thus reconciling two separate lines of computations.
Cite
@article{arxiv.1302.6702,
title = {Andrews Style Partition Identities},
author = {Kağan Kurşungöz},
journal= {arXiv preprint arXiv:1302.6702},
year = {2013}
}