HEEGNER POINTS, CYCLES AND MAASS FORMS

被引：96

作者：

KATOK, S ^{[1
]}

SARNAK, P ^{[1
]}

机构：

[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1993年 / 84卷 / 1-2期

关键词：

D O I：

10.1007/BF02761700

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive for Hecke-Maass cusp forms on the full modular group a relation between the sum of the form st Heegner points (and integrals over Heegner cycles) and the product of two Fourier coefficients of a corresponding form of half-integral weight. Specializing to certain cycles we obtain the non-negativity of the L-function of such a form at the center of the critical strip. These results generalize similar formulae known for holomorphic forms.

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页码：193 / 227

页数：35

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