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College of Science
School of Mathematics and Statistics
Mathematics and Statistics Research Collection
On sums of three squares
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On sums of three squares
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threefinal.pdf
83.01 KB
Author(s)
Choi, Stephen
Kumchev, Angel
Osburn, Robert
Uri
http://hdl.handle.net/10197/7870
Date Issued
June 2005
Date Available
06T11:07:37Z September 2016
Abstract
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r3(n).
Other Sponsorship
NSERC of Canada
Type of Material
Journal Article
Publisher
World Scientific Publishing
Journal
International Journal of Number Theory
Volume
1
Issue
2
Start Page
161
End Page
173
Keywords
Sums of squares
Circle method
Modular forms
DOI
10.1142/S1793042105000054
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
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961
Acquisition Date
Mar 21, 2023
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Acquisition Date
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