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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 2, Pages 239–249
DOI: https://doi.org/10.1070/IM1986v027n02ABEH001176 (Mi im1372) 		 
This article is cited in 6 scientific papers (total in 8 papers)

On the function $G(n)$ in Waring's problem

A. A. Karatsuba
English version PDF (475 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/IM1986v027n02ABEH001176
Abstract: Using a $p$-adic method, the author obtains a new estimate for the Hardy–Littlewood function $G(n)$: $G(n)<2n\log n+2n\log\log n+12n$.
Bibliography: 18 titles.
Received: 15.01.1985
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: Primary 11D41, 11P05; Secondary 11L40, 11D72, 11D85
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “On the function $G(n)$ in Waring's problem”, Math. USSR-Izv., 27:2 (1986), 239–249
Citation in format AMSBIB
\Bibitem{Kar85}
\by A.~A.~Karatsuba
\paper On the function $G(n)$ in Waring's problem
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 2
\pages 239--249
\mathnet{http://mi.mathnet.ru//eng/im1372}
\crossref{https://doi.org/10.1070/IM1986v027n02ABEH001176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=810525}
\zmath{https://zbmath.org/?q=an:0608.10046|0594.10041}
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    • This publication is cited in the following 8 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
     
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