ON THE RAMANUJAN-PETERSSON CONJECTURE FOR MODULAR-FORMS OF HALF-INTEGRAL WEIGHT

被引：2

作者：

KOHNEN, W ^{[1
]}

机构：

[1] MAX PLANCK INST MATH,D-53225 BONN,GERMANY

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1994年 / 104卷 / 02期

关键词：

RAMANUJAN-PETERSSON CONJECTURE; MODULAR FORMS OF HALF-INTEGRAL WEIGHT; KLOOSTERMAN SUM;

D O I：

10.1007/BF02863412

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a ''character twist'' of a growth estimate for certain weighted infinite sums of Kloosterman sums which is equivalent to the Ramanujan-Petersson conjecture for modular forms of half-integral weight, can easily be proved using Deligne's theorem (previously the Ramanujan-Petersson conjecture for modular forms of integral weight).

引用

页码：333 / 337

页数：5

共 24 条

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[9] Non-vanishing of products of Fourier coefficients of modular forms of half-integral weight
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