Quadratic forms and four partition functions modulo 3

Details Quadratic forms and four partition functions modulo 3 Quadratic forms and four partition functions modulo 3

2010-08-20

arxiv.org/abs/1008.3475v2

Mathematics

Number Theory

5 pages, to appear in Integers

Scientific paper

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.

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