A note on Boolean lattices and Farey sequences.
Matveev, Andrey O. (2007)
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Matveev, Andrey O. (2007)
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Douglas Bowman, Alexandru Zaharescu (2012)
Acta Arithmetica
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Karl Dilcher, Kenneth B. Stolarsky (2009)
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Bo Li, Yan Zhang, Artur Korniłowicz (2006)
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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.
Xue Hai Hu, Jun Wu (2009)
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Florin P. Boca, Joseph Vandehey (2012)
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Takao Komatsu (2003)
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Boris Adamczewski (2010)
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Komatsu, Takao (2006)
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James Mc Laughlin (2008)
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Denis, Remy Y. (1990)
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Sebe, Gabriela Ileana (2002)
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Mukherjee, Manash, Karner, Gunther (1998)
The New York Journal of Mathematics [electronic only]
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S. G. Dani (2015)
Acta Arithmetica
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We introduce a general framework for studying continued fraction expansions for complex numbers, and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a discrete subring of ℂ an analogue of the classical Lagrange theorem, characterising quadratic surds as numbers with eventually periodic continued fraction expansions, is proved. Monotonicity and exponential growth are established for the...
Nathan Wozny, Luca Q. Zamboni (2001)
Acta Arithmetica
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