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Matematicheskie Zametki, 1970, Volume 8, Issue 6, Pages 787–798 (Mi mzm9630)  
This article is cited in 2 scientific papers (total in 2 papers)

Lattice points in a circle whose distances from the center arein an arithmetic progression

P. D. Varbanets

I. I. Mechnikov Odessa State University
Full-text PDF (960 kB) Citations (2)
Abstract: An asymptotic formula is derived for the number of integral points in a circle, the squares of whose distances from the center of the circle belong to an arithmetic progression.
Received: 30.10.1968
English version:
Mathematical Notes, 1970, Volume 8, Issue 6, Pages 917–923
DOI: https://doi.org/10.1007/BF01673695
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: P. D. Varbanets, “Lattice points in a circle whose distances from the center arein an arithmetic progression”, Mat. Zametki, 8:6 (1970), 787–798; Math. Notes, 8:6 (1970), 917–923
Citation in format AMSBIB
\Bibitem{Var70}
\by P.~D.~Varbanets
\paper Lattice points in a circle whose distances from the center arein an arithmetic progression
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 6
\pages 787--798
\mathnet{http://mi.mathnet.ru/mzm9630}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291094}
\zmath{https://zbmath.org/?q=an:0222.10030|0222.10031}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 6
\pages 917--923
\crossref{https://doi.org/10.1007/BF01673695}
Linking options:
  • https://www.mathnet.ru/eng/mzm9630
  • https://www.mathnet.ru/eng/mzm/v8/i6/p787
    • 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
    		Математические заметки Mathematical Notes
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