Multi-continued fraction algorithm on multi-formal Laurent series
Zongduo Dai, Kunpeng Wang, Dingfeng Ye (2006)
Acta Arithmetica
Similarity:
Displaying similar documents to “Some aspects of simultaneous rational approximation”
Multi-continued fraction algorithm on multi-formal Laurent series
On a theorem of Legendre in the theory of continued fractions
Dominique Barbolosi, Hendrik Jager (1994)
Journal de théorie des nombres de Bordeaux
Similarity:
Approximation by Nearest Integer Continued Fractions.
Jincheng Tong (1992)
Mathematica Scandinavica
Similarity:
On (j, ε)-normality in the rational fractions
R. Stoneham (1970)
Acta Arithmetica
Similarity:
Rational approximations to Tasoev continued fractions.
Komatsu, Takao (2004)
Mathematica Pannonica
Similarity:
Non-converging continued fractions related to the Stern diatomic sequence
Boris Adamczewski (2010)
Acta Arithmetica
Similarity:
On Hurwitzian and Tasoev's continued fractions
Takao Komatsu (2003)
Acta Arithmetica
Similarity:
Some new families of Tasoevian and Hurwitzian continued fractions
James Mc Laughlin (2008)
Acta Arithmetica
Similarity:
On certain statistical properties of continued fractions with even and with odd partial quotients
Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
Similarity:
Simple Continued Fractions and Their Convergents
Bo Li, Yan Zhang, Artur Korniłowicz (2006)
Formalized Mathematics
Similarity:
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
Similarity:
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.