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.
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页码：1 / 7
页数：7
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