A new class of continued fraction expansions
Cor Kraaikamp (1991)
Acta Arithmetica
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Cor Kraaikamp (1991)
Acta Arithmetica
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Dajani, Karma, Kraaikamp, Cor (1998)
The New York Journal of Mathematics [electronic only]
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Dominique Barbolosi, Hendrik Jager (1994)
Journal de théorie des nombres de Bordeaux
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Zongduo Dai, Ping Wang, Kunpeng Wang, Xiutao Feng (2007)
Acta Arithmetica
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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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Sebe, Gabriela Ileana (2005)
International Journal of Mathematics and Mathematical Sciences
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Boonrod Yuttanan (2012)
Acta Arithmetica
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Boris Adamczewski (2010)
Acta Arithmetica
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James Mc Laughlin (2008)
Acta Arithmetica
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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...
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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K. Dajani, C. Kraaikamp, V. Masarotto (2012)
Acta Arithmetica
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Yusuf Hartono, Cor Kraaikamp, Fritz Schweiger (2002)
Journal de théorie des nombres de Bordeaux
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In this paper the Engel continued fraction (ECF) expansion of any is introduced. Basic and ergodic properties of this expansion are studied. Also the relation between the ECF and F. Ryde’s (MNK) is studied.