A joint discrete limit theorem for Epstein and Hurwitz zeta-functions
Saved in:
| Title: | A joint discrete limit theorem for Epstein and Hurwitz zeta-functions |
|---|---|
| Authors: | Hany Gerges, Antanas Laurinčikas, Renata Macaitienė |
| Source: | Mathematical Modelling and Analysis, Vol 30, Iss 2 (2025) Mathematical modelling and analysis., Vilnius : Vilniaus Gedimino technikos universitetas, 2025, vol. 30, iss. 2, p. 186-202. |
| Publisher Information: | Vilnius Gediminas Technical University, 2025. |
| Publication Year: | 2025 |
| Subject Terms: | hurwitz zeta-function, Epstein zeta-function, Hurwitz zeta-function, limit theorem, Haar probability measure, weak convergence, QA1-939, haar probability measure, Mathematics, epstein zeta-function |
| Description: | 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. |
| Document Type: | Article |
| File Description: | application/pdf |
| ISSN: | 1648-3510 1392-6292 |
| DOI: | 10.3846/mma.2025.22109 |
| Access URL: | https://doaj.org/article/1170cbecb22c4ef7a3f792dfb262240b https://repository.vu.lt/VU:ELABAPDB230560628&prefLang=en_US |
| Accession Number: | edsair.doi.dedup.....9f1d14d44ef64873ae92700169dfd483 |
| Database: | OpenAIRE |
Full Text Finder 
Nájsť tento článok vo Web of Science | Abstract: | 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. |
|---|---|
| ISSN: | 16483510 13926292 |
| DOI: | 10.3846/mma.2025.22109 |