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.
机构:
Vilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, LithuaniaVilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania
Laurincikas, Antanas
Siauciunas, Darius
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机构:
Vilnius Univ, Siauliai Acad, Inst Reg Dev, P Visinskio Str 25, LT-76351 Vilnius, LithuaniaVilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania
机构:
Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, VietnamHanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam