NONVANISHING OF THE FAMILY OF Γ1(q)-AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT

被引：2

作者：

Djankovic, Goran ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Belgrade 11000, Serbia

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2011年 / 7卷 / 06期

关键词：

Central value; nonvanishing; mollification; families of L-functions; AUTOMORPHIC L-FUNCTIONS;

D O I：

10.1142/S1793042111004800

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate proportion of nonvanishing central values L(f, 1/2) of L-functions associated to the basis of holomorphic modular forms of fixed weight k with respect to Gamma(1)(q), in the limit when q -> infinity along the primes. Motivation is a contrast between Gamma(0)(q) and Gamma(1)(q) families in the sense of underlying harmonic analysis.

引用

页码：1423 / 1439

页数：17

共 7 条

[1]

Iwaniec H, 1999, NUMBER THEORY IN PROGRESS, VOLS 1 AND 2, P941

[2] The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros [J].