On a theorem of Legendre in the theory of continued fractions
Dominique Barbolosi, Hendrik Jager (1994)
Journal de théorie des nombres de Bordeaux
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Displaying similar documents to “Rational approximations to Tasoev continued fractions.”
On a theorem of Legendre in the theory of continued fractions
Hurwitz and Tasoev continued fractions with long period.
Komatsu, Takao (2006)
Mathematica Pannonica
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On generalization of continued fraction of Gauss.
Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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On Hurwitzian and Tasoev's continued fractions
Takao Komatsu (2003)
Acta Arithmetica
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Non-converging continued fractions related to the Stern diatomic sequence
Boris Adamczewski (2010)
Acta Arithmetica
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Some new families of Tasoevian and Hurwitzian continued fractions
James Mc Laughlin (2008)
Acta Arithmetica
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On certain statistical properties of continued fractions with even and with odd partial quotients
Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
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Simple Continued Fractions and Their Convergents
Bo Li, Yan Zhang, Artur Korniłowicz (2006)
Formalized Mathematics
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The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of simple continued fractions is shown. We also give definitions of convergents of continued fractions, and several important properties of simple continued fractions and their convergents.
Continued fractions on the Heisenberg group
Anton Lukyanenko, Joseph Vandehey (2015)
Acta Arithmetica
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We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.