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Quadratic forms and four partition functions modulo 3
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|---|---|---|---|---|
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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 | Journal: | Integers | Volume: | 11 | Issue: | A4 | Start page: | 47 | End page: | 53 | Keywords: | Partitions; Congruences; Congruential restrictions | DOI: | 10.1515/integ.2011.004 | Language: | en | Status of Item: | Peer reviewed | metadata.dc.date.available: | 2016-08-23T14:01:26Z |
| Appears in Collections: | Mathematics and Statistics Research Collection |
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