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

    Kęstutis Janulis Info
    Antanas Laurinčikas Info
    Renata Macaitienė Info
    Darius Šiaučiūnas Info

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.

Keywords:

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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November 1, 2012
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2012-11-01

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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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