| Title |
A joint discrete limit theorem for Epstein and Hurwitz zeta-functions / |
| Authors |
Gerges, Hany Hilal Yewakiem ; Laurinčikas, Antanas ; Macaitienė, Renata |
| DOI |
10.3846/mma.2025.22109 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilniaus Gedimino technikos universitetas. 2025, vol. 30, iss. 2, p. 186-202.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Epstein zeta-function ; Hurwitz zeta-function ; limit theorem ; Haar probability measure ; weak convergence |
| Abstract [eng] |
In the paper, we obtain a joint limit theorem on weak convergence for probability measure defined by discrete shifts of the Epstein and Hurwitz zeta-functions. The limit measure is explicitly given. For the proof, some linear independence restriction is required. The proved theorem extends and continues Bohr–Jessen’s classical results on probabilistic characterization of value distribution for the Riemann zeta-function. |
| Published |
Vilnius : Vilniaus Gedimino technikos universitetas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
