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The Size of the Selberg Zeta-Function at Places Symmetric with Respect to the Line Re(s)= 1/2

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Abstract

We compare the absolute values of the Selberg zeta-function at places symmetric with respect to the line Re(s) = 1/2. We consider Selberg zeta-functions associated to cocompact and modular groups.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania

    Ramūnas Garunkštis & Andrius Grigutis

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  1. Ramūnas Garunkštis
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  2. Andrius Grigutis
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Correspondence to Andrius Grigutis.

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Supported by grant No MIP-066/2012 from the Research Council of Lithuania.

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Garunkštis, R., Grigutis, A. The Size of the Selberg Zeta-Function at Places Symmetric with Respect to the Line Re(s)= 1/2. Results. Math. 70, 271–281 (2016). https://doi.org/10.1007/s00025-015-0486-7

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  • DOI: https://doi.org/10.1007/s00025-015-0486-7

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