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Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros

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Abstract

Assume the Riemann hypothesis. On the right-hand side of the critical strip, we obtain an asymptotic formula for the discrete mean square of the Riemann zeta-function over imaginary parts of its zeros.

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Authors and Affiliations

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

    Ramūnas Garunkštis & Antanas Laurinčikas

Authors
  1. Ramūnas Garunkštis
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  2. Antanas Laurinčikas
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Correspondence to Ramūnas Garunkštis.

Additional information

The first author is supported by a Grant No. MIP-049/2014 from the Research Council of Lithuania.

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Garunkštis, R., Laurinčikas, A. Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros. Period Math Hung 76, 217–228 (2018). https://doi.org/10.1007/s10998-017-0228-6

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  • DOI: https://doi.org/10.1007/s10998-017-0228-6

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