Quadratic forms and four partition functions modulo 3

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Title: Quadratic forms and four partition functions modulo 3
Authors: Lovejoy, Jeremy
Osburn, Robert
Permanent link: http://hdl.handle.net/10197/7829
Date: Feb-2011
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.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: De Gruyter
Keywords: Partitions;Congruences;Congruential restrictions
DOI: 10.1515/integ.2011.004
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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