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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 1, Pages 171–191
DOI: https://doi.org/10.1070/IM1988v031n01ABEH001054
(Mi im1322)
 

This article is cited in 2 scientific papers (total in 2 papers)

The distribution of numbers representable as a sum of two squares

V. A. Plaksin
References:
Abstract: This paper contains two theorems. The first concerns the distribution of the differences between successive numbers representable as a sum of two perfect squares, and the second concerns the number of such numbers in short intervals. The paper is a continuation of work by C. Hooley, Y. Motohashi, and the author.
Bibliography: 19 titles.
Received: 04.11.1985
Revised: 09.12.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1987, Volume 51, Issue 4, Pages 860–877
Bibliographic databases:
UDC: 511
MSC: Primary 11N25; Secondary 11L40, 11N35, 11E25
Language: English
Original paper language: Russian
Citation: V. A. Plaksin, “The distribution of numbers representable as a sum of two squares”, Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987), 860–877; Math. USSR-Izv., 31:1 (1988), 171–191
Citation in format AMSBIB
\Bibitem{Pla87}
\by V.~A.~Plaksin
\paper The distribution of numbers representable as a~sum of two squares
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1987
\vol 51
\issue 4
\pages 860--877
\mathnet{http://mi.mathnet.ru/im1322}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=914863}
\zmath{https://zbmath.org/?q=an:0657.10050|0637.10034}
\transl
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 1
\pages 171--191
\crossref{https://doi.org/10.1070/IM1988v031n01ABEH001054}
Linking options:
  • https://www.mathnet.ru/eng/im1322
  • https://doi.org/10.1070/IM1988v031n01ABEH001054
  • https://www.mathnet.ru/eng/im/v51/i4/p860
  • This publication is cited in the following 2 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:400
    Russian version PDF:227
    English version PDF:10
    References:39
    First page:1
     
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