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Second moment of the Beurling zeta-function

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Abstract

We consider the second moment of the Beurling zeta-function and of its reciprocal (mainly on σ = 1). Along the way, we study moments of more general Dirichlet series.

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Authors and Affiliations

  1. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania

    Paulius Drungilas, Ramūnas Garunkštis & Aivaras Novikas

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  1. Paulius Drungilas
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  2. Ramūnas Garunkštis
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  3. Aivaras Novikas
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Correspondence to Paulius Drungilas.

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The first two authors were supported by a grant No. MIP-049/2014 from the Research Council of Lithuania.

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Drungilas, P., Garunkštis, R. & Novikas, A. Second moment of the Beurling zeta-function. Lith Math J 59, 317–337 (2019). https://doi.org/10.1007/s10986-019-09439-8

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  • DOI: https://doi.org/10.1007/s10986-019-09439-8

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