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Mathematics of the USSR-Izvestiya, 1979, Volume 13, Issue 3, Pages 461–497
DOI: https://doi.org/10.1070/IM1979v013n03ABEH002075 (Mi im1963) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A sharp estimate for the number of solutions of a system of Diophantine equations

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov
English version PDF (1411 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1979v013n03ABEH002075
Abstract: A sharp estimate is obtained for the average of $|\Gamma|^{2k}$, where $\Gamma$ is an $r$-fold Weyl sum, valid for suitably large $k$.
Bibliography: 9 titles.
Received: 12.06.1978
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 10B15, 10G10
Language: English
Original paper language: Russian
Citation: G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “A sharp estimate for the number of solutions of a system of Diophantine equations”, Math. USSR-Izv., 13:3 (1979), 461–497
Citation in format AMSBIB
\Bibitem{ArkKarChu78}
\by G.~I.~Arkhipov, A.~A.~Karatsuba, V.~N.~Chubarikov
\paper A~sharp estimate for the number of solutions of a~system of Diophantine equations
\jour Math. USSR-Izv.
\yr 1979
\vol 13
\issue 3
\pages 461--497
\mathnet{http://mi.mathnet.ru//eng/im1963}
\crossref{https://doi.org/10.1070/IM1979v013n03ABEH002075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=522938}
\zmath{https://zbmath.org/?q=an:0427.10011|0402.10016}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG49100001}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:542
    Russian version PDF:210
    English version PDF:16
    References:65
    First page:4
     
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