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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 3, Pages 443–454
DOI: https://doi.org/10.1070/IM1985v025n03ABEH001295 (Mi im1511) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Waring's problem with nonintegral exponent

G. I. Arkhipov, A. N. Zhitkov
English version PDF (402 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM1985v025n03ABEH001295
Abstract: An asymptotic formula is obtained for representing a natural number $N$ by a sum of $k$ terms of the form $|x^c|$, where $k\ll n^2\ln n$. Here $x$ is a natural number and $c$ is a nonintegral real number greater than 2. The result of Deshouillers in which $k\ll n^3\ln n$ is also improved.
Bibliography: 9 titles.
Received: 01.06.1983
Bibliographic databases:
Document Type: Article
UDC: 511.3
MSC: 10J06
Language: English
Original paper language: Russian
Citation: G. I. Arkhipov, A. N. Zhitkov, “On Waring's problem with nonintegral exponent”, Math. USSR-Izv., 25:3 (1985), 443–454
Citation in format AMSBIB
\Bibitem{ArkZhi84}
\by G.~I.~Arkhipov, A.~N.~Zhitkov
\paper On~Waring's problem with nonintegral exponent
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 3
\pages 443--454
\mathnet{http://mi.mathnet.ru/eng/im1511}
\crossref{https://doi.org/10.1070/IM1985v025n03ABEH001295}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=772109}
\zmath{https://zbmath.org/?q=an:0586.10028|0568.10027}
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    • This publication is cited in the following 2 articles:
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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