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A functional equation for the hyperbolic zeta function of integer lattices

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Abstract

A functional equation for the hyperbolic zeta function of integer lattices is obtained.

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References

  1. N. M. Korobov, Number Theoretic Methods in Approximate Analysis, 2nd Ed. (MTsNMO, Moscow, 2004) [in Russian].

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  2. N. G. Chudakov, Introduction to the Theory of Dirichlet L-Functions (OGIZ Gostekhizdat, Moscow, 1947) [in Russian].

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    M. N. Dobrovolskii

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  1. M. N. Dobrovolskii
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Additional information

Original Russian Text © M.N. Dobrovolskii, 2007, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2007, Vol. 62, No. 5, pp. 18–23.

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Dobrovolskii, M.N. A functional equation for the hyperbolic zeta function of integer lattices. Moscow Univ. Math. Bull. 62, 186–191 (2007). https://doi.org/10.3103/S0027132207050038

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  • DOI: https://doi.org/10.3103/S0027132207050038

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