標題: BASES FOR S-k(Gamma(1)(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTION
作者: Fukuhara, Shinji
Yang, Yifan
應用數學系
Department of Applied Mathematics
關鍵字: Modular forms (one variable);period polynomials;Fourier coefficients of modular forms;sum of squares
公開日期: 1-Dec-2013
摘要: 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.
URI: http://dx.doi.org/10.1142/S1793042113500693
http://hdl.handle.net/11536/23225
ISSN: 1793-0421
DOI: 10.1142/S1793042113500693
期刊: INTERNATIONAL JOURNAL OF NUMBER THEORY
Volume: 9
Issue: 8
起始頁: 1973
結束頁: 1993
Appears in Collections:Articles