Quadratic forms and four partition functions modulo 3
arXiv:1008.3475 · doi:10.1515/integ.2011.004
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.
5 pages, to appear in Integers