Ergodic Properties of a Complex Continued Fraction Transformation
Iekata Shiokawa (1975)
Publications mathématiques et informatique de Rennes
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Iekata Shiokawa (1975)
Publications mathématiques et informatique de Rennes
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Karma Dajani, Cor Kraaikamp (2000)
Colloquium Mathematicae
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We give the relationship between regular continued fractions and Lehner fractions, using a procedure known as insertion}. Starting from the regular continued fraction expansion of any real irrational x, when the maximal number of insertions is applied one obtains the Lehner fraction of x. Insertions (and singularizations) show how these (and other) continued fraction expansions are related. We also investigate the relation between Lehner fractions and the Farey expansion (also known...
Asmus L. Schmidt (1982)
Monatshefte für Mathematik
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Dajani, Karma, Kraaikamp, Cor (1998)
The New York Journal of Mathematics [electronic only]
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Takao Komatsu (2003)
Acta Arithmetica
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Xin Tong, Baowei Wang (2009)
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James Mc Laughlin (2008)
Acta Arithmetica
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Boris Adamczewski (2010)
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Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
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J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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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.
Hitoshi Nakada (1988)
Monatshefte für Mathematik
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Kentaro Nakaishi (2006)
Acta Arithmetica
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Dmitry A. Badziahin, Alan K. Haynes (2011)
Acta Arithmetica
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