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 |
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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 |
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