Some new families of Tasoevian and Hurwitzian continued fractions
James Mc Laughlin (2008)
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...
Takao Komatsu (2003)
Acta Arithmetica
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Komatsu, Takao (2006)
Mathematica Pannonica
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Boris Adamczewski (2010)
Acta Arithmetica
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Vinogradov, A.I. (2005)
Journal of Mathematical Sciences (New York)
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Florin P. Boca, Joseph Vandehey (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.
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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Boonrod Yuttanan (2012)
Acta Arithmetica
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Zongduo Dai, Ping Wang, Kunpeng Wang, Xiutao Feng (2007)
Acta Arithmetica
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Yuanhong Chen, Yu Sun, Xiaojun Zhao (2015)
Acta Arithmetica
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Xue Hai Hu, Jun Wu (2009)
Acta Arithmetica
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Ustinov, A.V. (2005)
Journal of Mathematical Sciences (New York)
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