| Title |
A generalized discrete Bohr–Jessen-type theorem for the Epstein zeta-function |
| Authors |
Laurinčikas, Antanas ; Macaitienė, Renata |
| DOI |
10.3390/math11040799 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2023, vol. 11, no. 4, art. no. 799, p. [1-13].. eISSN 2227-7390 |
| Keywords [eng] |
Epstein zeta-function ; limit theorem ; weak convergence ; Haar measure. |
| Abstract [eng] |
In the paper, it is obtained that probability measure 1N#{N⩽k⩽2N:ζ(σ+iφ(k);Q)∈A}, A∈B(C), converges weakly to an explicitly given probability measure on (C,B(C)), as N→∞. Where ζ(s;Q), s=σ+it, is the Epstein zeta-function. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
