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dc.contributor.authorFukuhara, Shinjien_US
dc.contributor.authorYang, Yifanen_US
dc.date.accessioned2014-12-08T15:33:25Z-
dc.date.available2014-12-08T15:33:25Z-
dc.date.issued2013-12-01en_US
dc.identifier.issn1793-0421en_US
dc.identifier.urihttp://dx.doi.org/10.1142/S1793042113500693en_US
dc.identifier.urihttp://hdl.handle.net/11536/23225-
dc.description.abstractWe find a basis for the space S-k(Gamma(1)(4)) of cusp forms of weight k for the congruence subgroup G1(4) in terms of Eisenstein series. As an application, we obtain formulas for r(2k)(n), the number of ways to represent a non-negative integer n as sums of 2k integer squares.en_US
dc.language.isoen_USen_US
dc.subjectModular forms (one variable)en_US
dc.subjectperiod polynomialsen_US
dc.subjectFourier coefficients of modular formsen_US
dc.subjectsum of squaresen_US
dc.titleBASES FOR S-k(Gamma(1)(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTIONen_US
dc.typeArticleen_US
dc.identifier.doi10.1142/S1793042113500693en_US
dc.identifier.journalINTERNATIONAL JOURNAL OF NUMBER THEORYen_US
dc.citation.volume9en_US
dc.citation.issue8en_US
dc.citation.spage1973en_US
dc.citation.epage1993en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000327876100007-
dc.citation.woscount0-
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