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Trudy Mat. Inst. Steklova, 2017, Volume 299, Pages 50–55 (Mi tm3833)  

This article is cited in 1 scientific paper (total in 1 paper)

On the binary additive divisor problem

Olga G. Balkanovaa, Dmitry A. Frolenkovb

a Department of Mathematics and Statistics, University of Turku, Turku 20014, Finland
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We show that the methods of Motohashi and Meurman yield the same upper bound on the error term in the binary additive divisor problem. To this end, we improve an estimate in the proof of Motohashi.

Funding Agency Grant Number
Academy of Finland 293876
Russian Science Foundation 14-11-00335
The research of Olga Balkanova is supported by the Academy of Finland, project no. 293876. The research of Dmitry Frolenkov is supported by the Russian Science Foundation under grant 14-11-00335 and performed in the Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences.


DOI: https://doi.org/10.1134/S0371968517040021

Full text: PDF file (153 kB)
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English version:
Proceedings of the Steklov Institute of Mathematics, 2017, 299, 44–49

Bibliographic databases:

UDC: 511.3+517.588
MSC: 11N37
Received: November 28, 2016

Citation: Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Analytic number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Trudy Mat. Inst. Steklova, 299, MAIK Nauka/Interperiodica, Moscow, 2017, 50–55; Proc. Steklov Inst. Math., 299 (2017), 44–49

Citation in format AMSBIB
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\by Olga~G.~Balkanova, Dmitry~A.~Frolenkov
\paper On the binary additive divisor problem
\inbook Analytic number theory
\bookinfo On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 299
\pages 50--55
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517040021}
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\jour Proc. Steklov Inst. Math.
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\pages 44--49
\crossref{https://doi.org/10.1134/S0081543817080028}
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    This publication is cited in the following articles:
    1. D. A. Frolenkov, “Nondiagonal terms in the second moment of automorphic $L$-functions”, Sb. Math., 211:8 (2020), 1171–1189  mathnet  crossref  crossref  mathscinet  isi  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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