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

    Kęstutis Janulis Info
    Antanas Laurinčikas Info
    Renata Macaitienė Info
    Darius Šiaučiūnas Info
DOI: https://doi.org/10.3846/13926292.2012.735260

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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