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Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions

Abstract

In the paper, we prove that every system of analytic functions can be approximated simultaneously uniformly on compact subsets of some region by a collection consisting of shifts of Dirichlet L-functions with pairwise non-equivalent characters and periodic Hurwitz zeta-functions with parameters algebraically independent over the field of rational numbers.

Keyword : Dirichlet L-function, limit theorem, periodic Hurwitz zeta-function, space of analytic functions, universality

How to Cite
Janulis, K., Laurinčikas, A., Macaitienė, R., & Šiaučiūnas, D. (2012). Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions. Mathematical Modelling and Analysis, 17(5), 673-685. https://doi.org/10.3846/13926292.2012.735260
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Nov 1, 2012
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