Sums of squares from elliptic pfaffians

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dc.creatorRosengren, Hjalmar
dc.date2006-10-09
dc.date.accessioned2026-07-07T12:35:45Z
dc.date.available2026-07-07T12:35:45Z
dc.descriptionWe give a new proof of Milne's formulas for the number of representations of an integer as a sum of 4m^2 and 4m(m+1) squares. The proof is based on explicit evaluation of pfaffians with elliptic function entries, and relates Milne's formulas to Schur Q-polynomials and to correlation functions for continuous dual Hahn polynomials. We also state a new formula for 2m^2 squares.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0610278
dc.identifierhttp://arxiv.org/abs/math/0610278
dc.identifierInternational Journal of Number Theory 4 (2008), 873-902
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217863
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subjectPrimary: 11E25, Secondary: 15A15, 33C45, 33E05
dc.titleSums of squares from elliptic pfaffians
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