On the signs of Fourier coefficients of cusp forms

被引：56

作者：

Knopp, M

Kohnen, W

Pribitkin, W

机构：

[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

[2] Univ Heidelberg, Math Inst, D-69120 Heidelberg, Germany

[3] Haverford Coll, Dept Math, Haverford, PA 19041 USA

来源：

RAMANUJAN JOURNAL | 2003年 / 7卷 / 1-3期

关键词：

cusp forms; Fourier coefficients;

D O I：

10.1023/A:1026207515396

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Gamma be a discrete subgroup of SL(2,R) with a fundamental region of finite hyperbolic volume. (Then, Gamma is a finitely generated Fuchsian group of the first kind.) Let (GRAPHICS) be a nontrivial cusp form, with multiplier system, with respect to Gamma. Responding to a question of Geoffrey Mason, the authors present simple proofs of the following two results, under natural restrictions upon Gamma.

引用

页码：269 / 277

页数：9

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