A basis for S (k) (I" (0)(4)) and representations of integers as sums of squares
| dc.citation.epage | 25 | en_US |
| dc.citation.issue | 1 | en_US |
| dc.citation.volume | 28 | en_US |
| dc.citation.woscount | 2 | |
| dc.contributor.author | Fukuhara, Shinji | en_US |
| dc.contributor.author | Yang, Yifan | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | 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.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.identifier.issn | 1382-4090 | en_US |
| dc.identifier.journal | RAMANUJAN JOURNAL | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/15989 | |
| dc.identifier.wosnumber | WOS:000303507500003 | |
| 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 |