| Title |
A discrete version of the Mishou theorem related to periodic zeta-functions |
| Authors |
Balčiūnas, Aidas ; Jasas, Mindaugas ; Rimkevičienė, Audronė |
| DOI |
10.3846/mma.2024.19502 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius Gediminas Technical University. 2024, vol. 29, iss. 2, p. 331-346.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Mishou theorem ; periodic Hurwitz zeta-function ; periodic zeta-function ; universality |
| Abstract [eng] |
In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts ζuN (s + ikh1; a) and ζuN (s + ikh2, α; b) of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz zeta-function, respectively. We suppose that uN → ∞ and uN ≪ N2 as N → ∞, and the set {(h1 log p: p ∈ P), (h2 log(m + α): m ∈ N0), 2π} is linearly independent over Q. |
| Published |
Vilnius : Vilnius Gediminas Technical University |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
