Two partition functions with congruences modulo 3, 5, 7, and 13
Number Theory
2016-03-21 v3
Abstract
We introduce two new integer partition functions, both of which are the number of partition quadruples of with certain size restrictions. We prove both functions satisfy Ramanujan-type congruences modulo , , , and by use of generalized Lambert series identities and -series techniques.
Cite
@article{arxiv.1505.06467,
title = {Two partition functions with congruences modulo 3, 5, 7, and 13},
author = {Chris Jennings-Shaffer},
journal= {arXiv preprint arXiv:1505.06467},
year = {2016}
}