An explicit arithmetic formula for the Fourier coefficients of Siegel–Eisenstein series of degree two and square-free odd levels

被引：0

作者：

Yoshinori Mizuno

机构：

[1] Muroran Institute of Technology,

来源：

Mathematische Zeitschrift | 2009年 / 263卷

关键词：

Primary 11F30; Secondary 11F46;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give an explicit arithmetic formula for the Fourier coefficients of Siegel–Eisenstein series of degree two and square-free odd levels.

引用

页码：837 / 860

页数：23

共 15 条

[1] An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels
Mizuno, Yoshinori
[J]. MATHEMATISCHE ZEITSCHRIFT, 2009, 263 (04) : 837 - 860
[2] An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3
Katsurada, H
[J]. NAGOYA MATHEMATICAL JOURNAL, 1997, 146 : 199 - 223
[3] On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level
Keiichi Gunji
[J]. The Ramanujan Journal, 2022, 59 : 479 - 504
[4] On the Fourier coefficients of Siegel-Eisenstein series of degree 2 for odd level
Gunji, Keiichi
[J]. RAMANUJAN JOURNAL, 2022, 59 (02): : 479 - 504
[5] Fourier coefficients of Siegel-Eisenstein series of odd genus
Choie, YoungJu
Kohnen, Winfried
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (01) : 1 - 7
[6] On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character
Gunji, Keiichi
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2024, 76 (01) : 173 - 216
[7] On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series
Gunji, Keiichi
[J]. JOURNAL OF NUMBER THEORY, 2022, 240 : 124 - 144
[8] Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp
Keiichi Gunji
[J]. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022, 92 : 69 - 83
[9] Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp
Gunji, Keiichi
[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2022, 92 (01): : 69 - 83
[10] Fourier coefficients of degree two Siegel–Eisenstein series with trivial character at squarefree level
Martin J. Dickson
[J]. The Ramanujan Journal, 2015, 37 : 541 - 562

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