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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 237, Pages 31–39 (Mi znsl424)  
This article is cited in 1 scientific paper (total in 1 paper)

On quadratic irrationalities having continued fractions with small periods

E. P. Golubeva

St. Petersburg State University of Telecommunications
Full-text PDF (183 kB) Citations (1)
Abstract: We study the class number of an indefinite binary quadratic form of discriminant $d$ based on the expansion of $\sqrt d$ into a continued fraction and single out sequences of $d$ for which $h(d)$ has a lower-bound extimate. Progress is made for the conjecture on the estimate of the quantity of prime discriminants $d$ with fixed length of period of expansion of $\sqrt d$.
Received: 09.12.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 3, Pages 2192–2197
DOI: https://doi.org/10.1007/BF02172463
Bibliographic databases:
UDC: 511.622
Language: Russian
Citation: E. P. Golubeva, “On quadratic irrationalities having continued fractions with small periods”, Analytical theory of numbers and theory of functions. Part 14, Zap. Nauchn. Sem. POMI, 237, POMI, St. Petersburg, 1997, 31–39; J. Math. Sci. (New York), 95:3 (1999), 2192–2197
Citation in format AMSBIB
\Bibitem{Gol97}
\by E.~P.~Golubeva
\paper On quadratic irrationalities having continued fractions with small periods
\inbook Analytical theory of numbers and theory of functions. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 237
\pages 31--39
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl424}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691281}
\zmath{https://zbmath.org/?q=an:1015.11032}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 3
\pages 2192--2197
\crossref{https://doi.org/10.1007/BF02172463}
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    • 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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