On Hurwitzian and Tasoev's continued fractions
Takao Komatsu (2003)
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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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.
James Mc Laughlin (2008)
Acta Arithmetica
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Zongduo Dai, Ping Wang, Kunpeng Wang, Xiutao Feng (2007)
Acta Arithmetica
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J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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Boris Adamczewski (2010)
Acta Arithmetica
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Boonrod Yuttanan (2012)
Acta Arithmetica
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Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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Komatsu, Takao (2006)
Mathematica Pannonica
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James Mc Laughlin, Peter Zimmer (2007)
Acta Arithmetica
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Xue Hai Hu, Jun Wu (2009)
Acta Arithmetica
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Yuanhong Chen, Yu Sun, Xiaojun Zhao (2015)
Acta Arithmetica
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Toufik Mansour (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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We present a q-analogue for the fact that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, Milutinović and Petr [Adv. Appl. Math. 39 (2007)] is the numerator of a continued fraction of n terms. Moreover, we give a combinatorial interpretation for our q-analogue.
Yann Bugeaud, Pascal Hubert, Thomas A. Schmidt (2013)
Journal of the European Mathematical Society
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We give the first transcendence results for the Rosen continued fractions. Introduced over half a century ago, these fractions expand real numbers in terms of certain algebraic numbers.