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Sum of the Dirichlet L-functions over nontrivial zeros of another Dirichlet L-function

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Abstract

A. Fujii, and later J. Steuding, considered an asymptotic formula for the sum of values of the Dirichlet L-function taken at the nontrivial zeros of another Dirichlet L-function. Here we improve the error term of this asymptotic formula.

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Authors and Affiliations

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

    R. Garunkštis & J. Kalpokas

  2. Faculty of Social Informatics, Mykolas Romeris University, Ateities 20, 08303, Vilnius, Lithuania

    J. Kalpokas

  3. Department of Mathematics, Würzburg University, Am Hubland, 97 218, Würzburg, Germany

    J. Steuding

Authors
  1. R. Garunkštis
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  2. J. Kalpokas
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  3. J. Steuding
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Correspondence to R. Garunkštis.

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Garunkštis, R., Kalpokas, J. & Steuding, J. Sum of the Dirichlet L-functions over nontrivial zeros of another Dirichlet L-function. Acta Math Hung 128, 287–298 (2010). https://doi.org/10.1007/s10474-009-9190-y

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  • DOI: https://doi.org/10.1007/s10474-009-9190-y

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