Estimates of fourier coefficients of siegel cusp forms for subgroups and in the case of small weight

被引：2

作者：

Bringmann, K ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2006年 / 73卷

关键词：

D O I：

10.1112/S0024610705022398

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we develop estimates for Fourier coefficients of Siegel cusp forms. First we consider the case of Siegel modular forms for the full modular group Gamma(g) having small weight (that is, weight k = g + 1). Afterwards the case of a certain subgroup Gamma(g,0)(N) of Gamma(g) is considered.

引用

页码：31 / 47

页数：17

共 50 条

[31] Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients
Saha, Abhishek
MATHEMATISCHE ANNALEN, 2013, 355 (01) : 363 - 380
[32] Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients
Abhishek Saha
Mathematische Annalen, 2013, 355 : 363 - 380
[33] A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
Kohnen, Winfried
Martin, Yves
FORUM MATHEMATICUM, 2014, 26 (05) : 1323 - 1331
[34] On Fourier Coefficients and Hecke Eigenvalues of Siegel Cusp Forms of Degree 2
Paul, Biplab
Saha, Abhishek
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (24) : 21707 - 21760
[35] On the average growth of Fourier coefficients of Siegel cusp forms of genus 2
Kohnen, W
PACIFIC JOURNAL OF MATHEMATICS, 1997, 179 (01) : 119 - 121
[36] On the growth of the Petersson norms of Fourier Jacobi coefficients of Siegel cusp forms
Kohnen, Winfried
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 : 717 - 720
[37] Estimates for Fourier coefficients of Hermitian cusp forms of degree two
Kumar, Arvind
Ramakrishnan, B.
ACTA ARITHMETICA, 2018, 183 (03) : 257 - 275
[38] On some estimates involving Fourier coefficients of Maass cusp forms
Sun, Qingfeng
Wang, Hui
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, 19 (05) : 997 - 1019
[39] FOURIER COEFFICIENTS OF CUSP FORMS
RANKIN, RA
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 100 : 5 - 29
[40] Fourier coefficients of cusp forms of half-integral weight
W. Kohnen
Y.-K. Lau
J. Wu
Mathematische Zeitschrift, 2013, 273 : 29 - 41

← 1 2 3 4 5 →