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On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke L-functions on the critical line

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Abstract

We solve an additive problem with binary quadratic forms and apply it to obtain a lower bound for the number of zeros of linear combinations of Hecke L-functions on a segment of the critical line.

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Authors and Affiliations

  1. National Research University “Belgorod State University,”, ul. Pobedy 85, Belgorod, 308015, Russia

    S. A. Gritsenko

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  1. S. A. Gritsenko
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Correspondence to S. A. Gritsenko.

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Original Russian Text © S.A. Gritsenko, 2012, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Vol. 276, pp. 96–108.

To the blessed memory of Anatolii Alekseevich Karatsuba

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Gritsenko, S.A. On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke L-functions on the critical line. Proc. Steklov Inst. Math. 276, 90–102 (2012). https://doi.org/10.1134/S0081543812010087

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  • DOI: https://doi.org/10.1134/S0081543812010087

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