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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 263, Pages 20–33 (Mi znsl1132)  
This article is cited in 2 scientific papers (total in 2 papers)

Spectrum of Levy constants for quadratic irrationalities

E. P. Golubeva

St. Petersburg State University of Telecommunications
Full-text PDF (199 kB) Citations (2)
Abstract: It is proved that $\pi^2/12\log2$ is a condensation point of the set of Levy constants for quadratic irrationalities of the form $\sqrt d$. Conditions are obtained under which the Levy constant for $\sqrt d$ is separated from the left bounding point for the Levy constants, i.e., from $\log(1 + \sqrt5)/2$.
Received: 09.09.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 6, Pages 3040–3047
DOI: https://doi.org/10.1023/A:1015459925489
Bibliographic databases:
UDC: 511.334
Language: Russian
Citation: E. P. Golubeva, “Spectrum of Levy constants for quadratic irrationalities”, Analytical theory of numbers and theory of functions. Part 16, Zap. Nauchn. Sem. POMI, 263, POMI, St. Petersburg, 2000, 20–33; J. Math. Sci. (New York), 110:6 (2002), 3040–3047
Citation in format AMSBIB
\Bibitem{Gol00}
\by E.~P.~Golubeva
\paper Spectrum of Levy constants for quadratic irrationalities
\inbook Analytical theory of numbers and theory of functions. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 263
\pages 20--33
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756334}
\zmath{https://zbmath.org/?q=an:1072.11050}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 6
\pages 3040--3047
\crossref{https://doi.org/10.1023/A:1015459925489}
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    • 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
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