Pogorui A. A.
ORCID: https://orcid.org/0000-0002-1563-8934, Сарана О. А.ORCID: https://orcid.org/0000-0003-4303-3411 and Франовський А. Ц.ORCID: https://orcid.org/0009-0009-4176-0990
(2026)
The Zeta Function of Some Algebraic Variables.
Open Journal of Mathematical Sciences. Т. 10.
pp. 828-835.
ISSN 2616-4906.
DOI: 10.30538/oms2026.0319.
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Abstract
In this paper, we study the extension of the Riemann zeta function to finite-dimensional commutative algebras and present examples of such extensions for several hypercomplex systems. We also investigate the zeros of the quaternionic zeta function and prove that its nontrivial zeros are spherical.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Riemann zeta function, commutative algebra, quaternions, hypercomplex systems |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Physics and Mathematics > Department of Algebra and Geometry |
| Depositing User: | Анатолій Олександрович Погоруй |
| Date Deposited: | 22 Jul 2026 00:42 |
| Last Modified: | 04 Aug 2026 16:12 |
| URI: | https://eprints.zu.edu.ua/id/eprint/49014 |
| ДСТУ 8302:2015: | Pogorui A. A. and Сарана О. А. and Франовський А. Ц. The Zeta Function of Some Algebraic Variables. Open Journal of Mathematical Sciences. 2026. Т. 10. pp. 828-835. DOI: 10.30538/oms2026.0319. |
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