On generalization of continued fraction of Gauss.
Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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Takao Komatsu (2003)
Acta Arithmetica
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Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
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James Mc Laughlin (2008)
Acta Arithmetica
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Boris Adamczewski (2010)
Acta Arithmetica
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Komatsu, Takao (2006)
Mathematica Pannonica
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J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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Boonrod Yuttanan (2012)
Acta Arithmetica
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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.
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.