On the Mishou Theorem with an Algebraic Parameter
- 作者: Laurinčikas A.1
-
隶属关系:
- Institute of Mathematics
- 期: 卷 60, 编号 6 (2019)
- 页面: 1075-1082
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172766
- DOI: https://doi.org/10.1134/S0037446619060144
- ID: 172766
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详细
The Riemann zeta-function and the Hurwitz zeta-function with transcendental or rational parameter are universal in the sense of Voronin: their shifts approximate broad classes of analytic functions. The universality of the Hurwitz zeta-function with an algebraic irrational parameter is an open problem since 1979. Mishou proved the joint universality of the Riemann zeta-function and the Hurwitz zeta-function with transcendental parameter. Mishou’s theorem with an algebraic irrational parameter is also an open problem. Here we obtain first results in this direction. We prove that there exists a nonempty closed subset of a two-dimensional set of analytic functions such that every pair in it is approximated by the shifts mentioned.
作者简介
A. Laurinčikas
Institute of Mathematics
编辑信件的主要联系方式.
Email: antanas.laurincikas@mif.vu.lt
立陶宛, Vilnius