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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 263, Pages 7–19 (Mi znsl1131)  
On the theorem on cycles of Skubenko

E. P. Golubeva

St. Petersburg State University of Telecommunications
Full-text PDF (185 kB)
Abstract: In this paper, we give a new proof of the theorem due to B. F. Skubenko providing an estimate of the ratio between lengths of periods for two real quadratic irrationalities of the same discriminant.
Received: 09.09.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 6, Pages 3032–3039
DOI: https://doi.org/10.1023/A:1015407908650
Bibliographic databases:
UDC: 511.512
Language: Russian
Citation: E. P. Golubeva, “On the theorem on cycles of Skubenko”, Analytical theory of numbers and theory of functions. Part 16, Zap. Nauchn. Sem. POMI, 263, POMI, St. Petersburg, 2000, 7–19; J. Math. Sci. (New York), 110:6 (2002), 3032–3039
Citation in format AMSBIB
\Bibitem{Gol00}
\by E.~P.~Golubeva
\paper On the theorem on cycles of Skubenko
\inbook Analytical theory of numbers and theory of functions. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 263
\pages 7--19
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1131}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756333}
\zmath{https://zbmath.org/?q=an:1008.11026}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 6
\pages 3032--3039
\crossref{https://doi.org/10.1023/A:1015407908650}
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