A basis for S (k) (I" (0)(4)) and representations of integers as sums of squares

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DC 欄位	值	語言
dc.contributor.author	Fukuhara, Shinji	en_US
dc.contributor.author	Yang, Yifan	en_US
dc.date.accessioned	2014-12-08T15:22:36Z	-
dc.date.available	2014-12-08T15:22:36Z	-
dc.date.issued	2012-05-01	en_US
dc.identifier.issn	1382-4090	en_US
dc.identifier.uri	http://hdl.handle.net/11536/15989	-
dc.description.abstract	In this paper, we find a basis for the space S (k) (I" (0)(4)) of cusp forms of even weight k for the congruence subgroup I" (0)(4) in terms of Eisenstein series. As an application, we obtain formulas for r (4s) (n), the number of ways to represent a nonnegative integer n as a sum of 4s integral 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	A basis for S (k) (I" (0)(4)) and representations of integers as sums of squares	en_US
dc.type	Article	en_US
dc.identifier.journal	RAMANUJAN JOURNAL	en_US
dc.citation.volume	28	en_US
dc.citation.issue	1	en_US
dc.citation.epage	25	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:000303507500003	-
dc.citation.woscount	2	-
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