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Acta Arithmetica
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Acta Arithmetica
Article . 2008 . Peer-reviewed
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https://dx.doi.org/10.4064/aa1...
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An odd square as a sum of an odd number of odd squares

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2008 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 132, pages 359-371 (issn: 0065-1036, eissn: 1730-6264, Copyright policy )
Authors: Chan, H.H.; Cooper, S.; Liaw, W.-C.;

doi: 10.4064/aa132-4-5

An odd square as a sum of an odd number of odd squares

Abstract

Let sk(n) be the number of representations of n as a sum of k odd squares. We study the function s8k+1(n ), where n is any odd positive integer. Special cases of our results are s9(p ) = 1 16 s16(8p) and 1 17 s17(p ) = 1 32 s32(8p), where p is any odd prime.

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Keywords

Hecke operator, Eisenstein series, Newform, 610, Oldform, Dirichlet series, Modular form, Sum of squares

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze