NONVANISHING OF POINCARE SERIES ON AVERAGE

被引：3

作者：

Das, Soumya ^{[1
]}

Ganguly, Satadal ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Indian Stat Inst, Theoret Stat & Math Unit, Kolkata 700178, India

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 01期

关键词：

Poincare series; modular form; Kloosterman sum;

D O I：

10.1142/S1793042112501205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a positive proportion of the Poincare series do not vanish identically when either the index or the weight varies over an interval of suitable length, the other one being fixed.

引用

页码：1 / 8

页数：8

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