Analogues of Jacobi's two-square theorem: an informal account

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Show simple item record Melham, R 2012-02-02T04:26:11Z 2010-01
dc.identifier.citation Integers, 2010, 10 pp. 83 - 100
dc.identifier.issn 1553-1732
dc.identifier.other C1 en_US
dc.description.abstract Jacobi's two-square theorem states that the number of representations of a positive integer k as a sum of two squares, counting order and sign, is 4 times the surplus of positive divisors of k congruent to 1 modulo 4 over those congruent to 3 modulo 4. In this paper we give numerous identities, each of which yields an analogue of Jacobi's result. Our identities are drawn from a much larger list, and involve polygonal numbers. The formula for the nth k-gonal number is
dc.publisher State University of West Georgia
dc.rights The final publication is available at
dc.title Analogues of Jacobi's two-square theorem: an informal account
dc.type Journal Article
dc.parent Integers
dc.journal.volume 10
dc.journal.number en_US
dc.publocation USA en_US
dc.identifier.startpage 83 en_US
dc.identifier.endpage 100 en_US SCI.Faculty of Science en_US
dc.conference Verified OK en_US
dc.for 0101 Pure Mathematics
dc.personcode 974601
dc.percentage 100 en_US Pure Mathematics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US en_US
dc.location.activity en_US
dc.description.keywords NA en_US
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Science
utslib.copyright.status Open Access 2015-04-15 12:23:47.074767+10
utslib.collection.history General (ID: 2)

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