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Chebyshevskii Sbornik, 2023, Volume 24, Issue 5, Pages 217–221
DOI: https://doi.org/10.22405/2226-8383-2023-24-5-217-221 (Mi cheb1384) 		 
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Hyperbolic zeta function of two-dimensional diagonal unimodular lattices

A. P. Krylov, N. M. Dobrovolsky

Tula State Lev Tolstoy Pedagogical University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2023-24-5-217-221
Abstract: The paper studies the properties of the hyperbolic zeta function of diagonal two-dimensional unimodular lattices. A theorem on the analytic continuation of this function is proved.
Keywords: hyperbolic zeta function of lattices, metric lattice space, unimodular lattices, diagonal lattices, fundamental lattices.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 073-03-2022-117/7
The study was carried out within the framework of state task No. 073-03-2022-117/7 on the topic “Number-theoretic methods in approximate analysis and their applications in mechanics and physics”.
Received: 28.07.2023
Accepted: 21.12.2023
Document Type: Article
UDC: 511.3
Language: Russian
Citation: A. P. Krylov, N. M. Dobrovolsky, “Hyperbolic zeta function of two-dimensional diagonal unimodular lattices”, Chebyshevskii Sb., 24:5 (2023), 217–221
Citation in format AMSBIB
\Bibitem{KryDob23}
\by A.~P.~Krylov, N.~M.~Dobrovolsky
\paper Hyperbolic zeta function of two-dimensional diagonal unimodular lattices
\jour Chebyshevskii Sb.
\yr 2023
\vol 24
\issue 5
\pages 217--221
\mathnet{http://mi.mathnet.ru/cheb1384}
\crossref{https://doi.org/10.22405/2226-8383-2023-24-5-217-221}
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