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arXiv · 1008.3475

Quadratic forms and four partition functions modulo 3

Jeremy Lovejoy·Robert Osburn
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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.

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Jeremy Lovejoy, Robert Osburn. 2010-08-20. Quadratic forms and four partition functions modulo 3. https://doi.org/10.1515/integ.2011.004

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