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.
Keywords:
Dirichlet L-function, limit theorem, periodic Hurwitz zeta-function, space of analytic functions, universalityHow to Cite
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.