Quadratic forms and four partition functions modulo 3
Number Theory
2021-02-03 v2 Combinatorics
Abstract
Recently, Andrews, Hirschhorn and Sellers have proven congruences modulo 3 for four types of partitions using elementary series manipulations. In this paper, we generalize their congruences using arithmetic properties of certain quadratic forms.
Cite
@article{arxiv.1008.3475,
title = {Quadratic forms and four partition functions modulo 3},
author = {Jeremy Lovejoy and Robert Osburn},
journal= {arXiv preprint arXiv:1008.3475},
year = {2021}
}
Comments
5 pages, to appear in Integers