| Title |
Universality of zeta-functions of cusp forms and non-trivial zeros of the Riemann zeta-function |
| Authors |
Balčiūnas, Aidas ; Franckevič, Violeta ; Garbaliauskienė, Virginija ; Rimkevičienė, Audronė ; Macaitienė, Renata |
| DOI |
10.3846/mma.2021.12447 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Technika. 2021, vol. 26, no.1, p. 82-93.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Montgomery pair correlation conjecture ; Riemann zeta-function ; zeta-function of cusp form ; universality |
| Abstract [eng] |
It is known that zeta-functions \zeta(s, F) of normalized Hecke-eigen cusp forms F are universal in the Voronin sense, i.e., their shifts \zeta(s + i\tau; F), \tau\in R, approximate a wide class of analytic functions. In the paper, under a weak form of the Montgomery pair correlation conjecture, it is proved that the discrete shifts can be the imaginary parts of non-trivial zeros of the Riemann zeta function. |
| Published |
Vilnius : Technika |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
