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 Tr. Mat. Inst. Steklova, 2012, Volume 276, Pages 96–108 (Mi tm3354)

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

S. A. Gritsenko

National Research University "Belgorod State University", Belgorod, Russia

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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English version:
Proceedings of the Steklov Institute of Mathematics, 2012, 276, 90–102

Bibliographic databases:

UDC: 511.34

Citation: S. A. Gritsenko, “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”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 96–108; Proc. Steklov Inst. Math., 276 (2012), 90–102

Citation in format AMSBIB
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\paper 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
\inbook Number theory, algebra, and analysis
\bookinfo Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday
\serial Tr. Mat. Inst. Steklova
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\vol 276
\pages 96--108
\publ MAIK Nauka/Interperiodica
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\jour Proc. Steklov Inst. Math.
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\pages 90--102
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. S. A. Gritsenko, D. B. Demidov, “On Zeros of Linear Combinations of Functions of Special Form Related to the Hecke $L$-Functions of Imaginary Quadratic Fields on Short Intervals”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S150–S164
2. M. A. Korolev, “On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s”, Proc. Steklov Inst. Math., 299 (2017), 1–43
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