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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 276, Pages 96–108 (Mi tm3354)  
This article is cited in 2 scientific papers (total in 2 papers)

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
Full-text PDF (239 kB) Citations (2)
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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.
Received in September 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 276, Pages 90–102
DOI: https://doi.org/10.1134/S0081543812010087
Bibliographic databases:
Document Type: Article
UDC: 511.34
Language: Russian
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, Trudy 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
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\vol 276
\pages 96--108
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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