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Items for "Hurwitz zeta-functions"

Joint universality for sums and products of Dirichlet L-functions

We study analytic properties of certain sums and products of Dirichlet L-functions. We prove joint universality for Hurwitz zeta-functions with rational parameters, for Dedekind zeta-functions to Abelian number fields, and for the elements of the extended Selberg class of degree one, all subject to certain natural side conditions.

Keywords: Hurwitz zeta-functions, Dedekind zeta-functions, extended Selberg class, functional independence

03/2006 | Analysis, Oldenbourg Wissenschaftsverlag
The joint universality for periodic Hurwitz zeta-functions

We prove a joint universality theorem for the Hurwitz zeta-functions with periodic coefficients.

Keywords: Hurwitz zeta-functions, joint universality, periodic Hurwitz zeta-function, universality

03/2006 | Analysis, Oldenbourg Wissenschaftsverlag