Linear independence of L-functions

被引：17

作者：

Kaczorowski, J ^{[1
]}

Molteni, G

Perelli, A

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[3] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

FORUM MATHEMATICUM | 2006年 / 18卷 / 01期

关键词：

D O I：

10.1515/FORUM.2006.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the linear independence of the L-functions, and of their derivatives of any order, in a large class l defined axiomatically. Such a class contains in particular the Selberg class as well as the Artin and the automorphic L-functions. Moreover, l is a multiplicative group, and hence our result also proves the linear independence of the inverses of such L-functions.

引用

页码：1 / 7

页数：7