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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2025 Volume 26, Issue 1, Pages 157–163 (Mi cheb1523)

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Hyperbolic zeta function of diagonal unimodular lattices

A. P. Krylov, N. M. Dobrovol'skii, I. N. Balaba

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: 18.11.2024
Accepted: 10.03.2025

DOI: 10.22405/2226-8383-2025-26-1-157-163



© Steklov Math. Inst. of RAS, 2026