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  5. Quadratic forms and four partition functions modulo 3
 
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Quadratic forms and four partition functions modulo 3

Author(s)
Lovejoy, Jeremy  
Osburn, Robert  
Uri
http://hdl.handle.net/10197/7829
Date Issued
2011-02
Date Available
2016-08-23T14:01:26Z
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
Subjects

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/
File(s)
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Thumbnail Image
Name

4part6.pdf

Size

133.04 KB

Format

Adobe PDF

Checksum (MD5)

20a47ced339fb20e43c6d98b64b070c1

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
All other content is subject to copyright.

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