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 Trudy Mat. Inst. Steklova, 2017, Volume 296, Pages 243–251 (Mi tm3773)

Additive problem with the coefficients of Hecke $L$-functions

I. S. Rezvyakova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: An asymptotic formula is obtained in an additive problem with the coefficients of Hecke $L$-functions. The formula is uniform with respect to the parameters of the problem.

 Funding Agency Grant Number Russian Science Foundation 14-11-00335 This work is supported by the Russian Science Foundation under grant 14-11-00335.

DOI: https://doi.org/10.1134/S0371968517010186

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English version:
Proceedings of the Steklov Institute of Mathematics, 2017, 296, 234–242

Bibliographic databases:

UDC: 511

Citation: I. S. Rezvyakova, “Additive problem with the coefficients of Hecke $L$-functions”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 243–251; Proc. Steklov Inst. Math., 296 (2017), 234–242

Citation in format AMSBIB
\Bibitem{Rez17} \by I.~S.~Rezvyakova \paper Additive problem with the coefficients of Hecke $L$-functions \inbook Analytic and combinatorial number theory \bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov \serial Trudy Mat. Inst. Steklova \yr 2017 \vol 296 \pages 243--251 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3773} \crossref{https://doi.org/10.1134/S0371968517010186} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3640786} \elib{https://elibrary.ru/item.asp?id=28905734} \transl \jour Proc. Steklov Inst. Math. \yr 2017 \vol 296 \pages 234--242 \crossref{https://doi.org/10.1134/S0081543817010187} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000400278600018} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018900768} 

• http://mi.mathnet.ru/eng/tm3773
• https://doi.org/10.1134/S0371968517010186
• http://mi.mathnet.ru/eng/tm/v296/p243

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This publication is cited in the following articles:
1. 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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