Polynomial continued fractions
D. Bowman, J. Mc Laughlin (2002)
Acta Arithmetica
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D. Bowman, J. Mc Laughlin (2002)
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.
J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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Boris Adamczewski (2010)
Acta Arithmetica
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Takao Komatsu (2003)
Acta Arithmetica
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Karl Dilcher, Kenneth B. Stolarsky (2009)
Acta Arithmetica
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James Mc Laughlin (2008)
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.
Henry Cohn (1996)
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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Komatsu, Takao (2006)
Mathematica Pannonica
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Yuanhong Chen, Yu Sun, Xiaojun Zhao (2015)
Acta Arithmetica
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