| Title |
On joint discrete universality of the Riemann zeta-function in short intervals / |
| Authors |
Chakraborty, Kalyan ; Kanemitsu, Shigeru ; Laurinčikas, Antanas |
| DOI |
10.3846/mma.2023.18884 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius Gediminas Technical University. 2023, vol. 28, iss. 4, p. 596-610.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Riemann zeta-function ; universality ; weak convergence |
| Abstract [eng] |
In the paper, we prove that the set of discrete shifts of the Riemann zeta-function approximating analytic nonvanishing functions f1(s),...,fr(s) defined on has a positive density in the interval [N,N + M] with with real algebraic numbers a1,...,ar linearly independent over Q. A similar result is obtained for shifts of certain absolutely convergent Dirichlet series. |
| Published |
Vilnius : Vilnius Gediminas Technical University |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
