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An inequality for the modified Selberg zeta-function

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Abstract

We consider the absolute values of the modified Selberg zeta-function at places symmetric with respect to the critical line. We prove an inequality for the modified Selberg zeta-function in a different way, reproving and extending the result of Garunkštis and Grigutis and completing the extension of a result of Belovas and Sakalauskas.

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Acknowledgements

The author would like to thank the anonymous reviewer for careful reading of the manuscript and providing constructive comments and suggestions, which have helped to improve the quality of the paper.

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  1. Vilnius University Institute of Data Science and Digital Technologies, Akademijos 4, 04812, Vilnius, Lithuania

    Igoris Belovas

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  1. Igoris Belovas
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Correspondence to Igoris Belovas.

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Belovas, I. An inequality for the modified Selberg zeta-function. Ramanujan J 55, 1063–1082 (2021). https://doi.org/10.1007/s11139-020-00265-y

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  • DOI: https://doi.org/10.1007/s11139-020-00265-y

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