Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions
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 alg...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Vilnius Gediminas Technical University
2012-11-01
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Series: | Mathematical Modelling and Analysis |
Subjects: | |
Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/4902 |
Summary: | 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.
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ISSN: | 1392-6292 1648-3510 |