Jerzy Kaczorowski, Giuseppe Molteni, Alberto Perelli
Linear independence of L-functions
We prove the linear independence of the L-functions, and of their derivatives of any order, in a large class 𝒞 defined axiomatically. Such a class contains in particular the Selberg class as well as the Artin and the automorphic L-functions. Moreover, 𝒞 is a multiplicative group, and hence our result also proves the linear independence of the inverses of such L-functions.
Forum Mathematicum, Walter de Gruyter
Print ISSN: 0933-7741
Volume: 18, 01/2006
Pages: 1 - 7
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