| Title |
A weighted version of the Mishou theorem / |
| Authors |
Laurinčikas, Antanas ; Šiaučiūnas, Darius ; Vadeikis, Gediminas |
| DOI |
10.3846/mma.2021.12445 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : VGTU press. 2021, vol. 26, no. 1, p. 21-33.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Hurwitz zeta-function ; Mishou theorem ; Riemann zeta-function ; universality |
| Abstract [eng] |
In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R. In the paper, the Mishou theorem is generalized for the set of above shifts having a weighted positive lower density. Also, the case of a positive density is considered. |
| Published |
Vilnius : VGTU press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
