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Linear independence of L-functions
-
Jerzy Kaczorowski
,
Giuseppe Molteni
Published/Copyright:
May 12, 2006
Abstract
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.
Received: 2004-04-05
Published Online: 2006-05-12
Published in Print: 2006-01-26
© Walter de Gruyter
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Articles in the same Issue
- Linear independence of L-functions
- Infinite interacting diffusion particles I: Equilibrium process and its scaling limit
- Every smooth p-adic Lie group admits a compatible analytic structure
- Mixed modules of finite torsion-free rank over a discrete valuation domain
- On generalized smooth groups
- E-locally cyclic abelian groups and maximal near-rings of mappings
- A note on Fourier coefficients of cusp forms on GLn
- Non-proper affine actions of the holonomy group of a punctured torus
- The linearisation map in algebraic K-theory
- The homotopy type of BG2Λ for some small matrix groups G
