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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2023 Volume 24, Issue 5, Pages 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)

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.

UDC: 511.3

Received: 28.07.2023
Accepted: 21.12.2023

DOI: 10.22405/2226-8383-2023-24-5-217-221



© Steklov Math. Inst. of RAS, 2024