| Title |
On the discrete approximation by the Mellin transform of the Riemann zeta-function |
| Authors |
Garbaliauskienė, Virginija ; Laurinčikas, Antanas ; Šiaučiūnas, Darius |
| DOI |
10.3390/math11102315 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2023, vol. 11, iss. 10, art. no. 2315, p. [1-15].. eISSN 2227-7390 |
| Keywords [eng] |
discrete limit theorem ; Mellin transform ; Riemann zeta-function ; weak convergence |
| Abstract [eng] |
In the paper, it is obtained that there are infinite discrete shifts X(s + ikh), h > 0, k 2 N0 of the Mellin transform X(s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach based on weak convergence of probability measures in the space of analytic functions is applied. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
