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Matematicheskie Zametki, 1969, Volume 5, Issue 4, Pages 413–418 (Mi mzm9473)  
This article is cited in 2 scientific papers (total in 2 papers)

Estimation from above of the period of a quadratic irrationality

A. S. Pena, B. F. Skubenkob

a A. Navoi Samarkand State University
b Leningrad Branch of the V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR
Full-text PDF (432 kB) Citations (2)
Abstract: The following result is established: let $l$ be the length of the period of a quadratic irrationality with discriminant $D>0$; then $l\ll D^{1/2+\varepsilon}$, where $\varepsilon$ is an arbitrarily small positive quantity.
Received: 23.05.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 4, Pages 247–250
DOI: https://doi.org/10.1007/BF01410791
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. S. Pen, B. F. Skubenko, “Estimation from above of the period of a quadratic irrationality”, Mat. Zametki, 5:4 (1969), 413–418; Math. Notes, 5:4 (1969), 247–250
Citation in format AMSBIB
\Bibitem{PenSku69}
\by A.~S.~Pen, B.~F.~Skubenko
\paper Estimation from above of the period of a quadratic irrationality
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 4
\pages 413--418
\mathnet{http://mi.mathnet.ru/mzm9473}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=245524}
\zmath{https://zbmath.org/?q=an:0216.04402}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 4
\pages 247--250
\crossref{https://doi.org/10.1007/BF01410791}
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  • https://www.mathnet.ru/eng/mzm/v5/i4/p413
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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