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College of Science
School of Mathematics and Statistics
Mathematics and Statistics Research Collection
Quadratic forms and four partition functions modulo 3
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Quadratic forms and four partition functions modulo 3
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4part6.pdf
133.04 KB
Author(s)
Lovejoy, Jeremy
Osburn, Robert
Uri
http://hdl.handle.net/10197/7829
Date Issued
February 2011
Date Available
23T14:01:26Z August 2016
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.
Sponsorship
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 restrict...
DOI
10.1515/integ.2011.004
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Research Collection
Views
1429
Acquisition Date
Jan 27, 2023
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210
Acquisition Date
Jan 27, 2023
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