BASES FOR S-k(Gamma(1)(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTION

Full metadata record

DC Field	Value	Language
dc.contributor.author	Fukuhara, Shinji	en_US
dc.contributor.author	Yang, Yifan	en_US
dc.date.accessioned	2014-12-08T15:33:25Z	-
dc.date.available	2014-12-08T15:33:25Z	-
dc.date.issued	2013-12-01	en_US
dc.identifier.issn	1793-0421	en_US
dc.identifier.uri	http://dx.doi.org/10.1142/S1793042113500693	en_US
dc.identifier.uri	http://hdl.handle.net/11536/23225	-
dc.description.abstract	We 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.iso	en_US	en_US
dc.subject	Modular forms (one variable)	en_US
dc.subject	period polynomials	en_US
dc.subject	Fourier coefficients of modular forms	en_US
dc.subject	sum of squares	en_US
dc.title	BASES FOR S-k(Gamma(1)(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTION	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1142/S1793042113500693	en_US
dc.identifier.journal	INTERNATIONAL JOURNAL OF NUMBER THEORY	en_US
dc.citation.volume	9	en_US
dc.citation.issue	8	en_US
dc.citation.spage	1973	en_US
dc.citation.epage	1993	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000327876100007	-
dc.citation.woscount	0	-
Appears in Collections:	Articles