| Title |
On the functional independence of the Riemann zeta-function |
| Authors |
Garbaliauskienė, Virginija ; Macaitienė, Renata ; Šiaučiūnas, Darius |
| DOI |
10.3846/mma.2023.17157 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius Gediminas Technical University. 2023, vol. 28, iss. 2, p. 352-359.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
functional independence ; Riemann zeta-function ; universality of zeta-functions |
| Abstract [eng] |
In 1973, Voronin proved the functional independence of the Riemannzeta-function ζ(s), i.e., that ζ(s) and its derivatives do not satisfy a certain equationwith continuous functions. In the paper, we obtain a joint version of the Voronin theorem. |
| Published |
Vilnius : Vilnius Gediminas Technical University |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
