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A SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES

dc.citation.epage551en_US
dc.citation.issue4en_US
dc.citation.spage533en_US
dc.citation.volume1en_US
dc.citation.woscount6
dc.contributor.authorLong, Lingen_US
dc.contributor.authorYang, Yifanen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:18:01Z
dc.date.available2014-12-08T15:18:01Z
dc.date.issued2005-12-01en_US
dc.description.abstractWe give a short proof of Milne's formulas for sums of 4n(2) and 4n(2) + 4n integer squares using the theory of modular forms. Other identities of Milne are also discussed.en_US
dc.identifier.doi10.1142/S1793042105000364en_US
dc.identifier.issn1793-0421en_US
dc.identifier.journalINTERNATIONAL JOURNAL OF NUMBER THEORYen_US
dc.identifier.urihttp://dx.doi.org/10.1142/S1793042105000364en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/13027
dc.identifier.wosnumberWOS:000207114000005
dc.language.isoen_USen_US
dc.subjectEisenstein seriesen_US
dc.subjectJacobi theta functionsen_US
dc.subjectmodular formsen_US
dc.subjectsum of integer squaresen_US
dc.subjectHankel determinant evaluationen_US
dc.titleA SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARESen_US
dc.typeArticleen_US

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