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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 91, Pages 134–144 (Mi znsl3182)  

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic formula for the sum of the lengths of the periods of the quadratic irrationalities of discriminant $D$

L. A. Takhtadzhyan
Full-text PDF (534 kB) Citations (1)
Abstract: With the help of theorem of B. F. Skubenko about the uniform distribution of lattice points on the one sheet hyperboloid the asymptotic formula for the sum of the lengths of the periods of quadratic irrationalities of discriminant $D$ is derived.
English version:
Journal of Soviet Mathematics, 1981, Volume 17, Issue 5, Pages 2173–2181
DOI: https://doi.org/10.1007/BF01567596
Bibliographic databases:
UDC: 511.3
Language: Russian
Citation: L. A. Takhtadzhyan, “Asymptotic formula for the sum of the lengths of the periods of the quadratic irrationalities of discriminant $D$”, Analytical theory of numbers and theory of functions. Part 2, Zap. Nauchn. Sem. LOMI, 91, "Nauka", Leningrad. Otdel., Leningrad, 1979, 134–144; J. Soviet Math., 17:5 (1981), 2173–2181
Citation in format AMSBIB
\Bibitem{Tak79}
\by L.~A.~Takhtadzhyan
\paper Asymptotic formula for the sum of the lengths of the periods of the quadratic irrationalities of discriminant~$D$
\inbook Analytical theory of numbers and theory of functions. Part~2
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 91
\pages 134--144
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3182}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=566513}
\zmath{https://zbmath.org/?q=an:0442.10007|0466.10005}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 17
\issue 5
\pages 2173--2181
\crossref{https://doi.org/10.1007/BF01567596}
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  • https://www.mathnet.ru/eng/znsl/v91/p134
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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