Transcendental Nature of Special Values of L-Functions

被引：12

作者：

Gun, Sanoli ^{[1
]}

Murty, M. Ram ^{[2
]}

Rath, Purusottam ^{[3
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

[2] Queens Univ, Dept Math, Kingston, ON K7L 3N6, Canada

[3] Chennai Math Inst, Siruseri 603103, Tamil Nadu, India

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2011年 / 63卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

ELLIPTIC-CURVES; REPRESENTATIONS; MODULARITY;

D O I：

10.4153/CJM-2010-078-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the non-vanishing and transcendence of special values of a varying class of L-functions and their derivatives. This allows us to investigate the transcendence of Petersson norms of certain weight one modular forms.

引用

页码：136 / 152

页数：17

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