Curves of genus 2, continued fractions, and Somos sequences.
van der Poorten, Alfred J. (2005)
Journal of Integer Sequences [electronic only]
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van der Poorten, Alfred J. (2005)
Journal of Integer Sequences [electronic only]
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Matthews, Keith R. (2009)
Journal of Integer Sequences [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...
Komatsu, Takao (2006)
Mathematica Pannonica
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Zongduo Dai, Ping Wang, Kunpeng Wang, Xiutao Feng (2007)
Acta Arithmetica
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Andrzej Schinzel (1986)
Acta Arithmetica
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J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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Boonrod Yuttanan (2012)
Acta Arithmetica
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Xue Hai Hu, Jun Wu (2009)
Acta Arithmetica
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Douglas Bowman, Alexandru Zaharescu (2012)
Acta Arithmetica
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Florin P. Boca, Joseph Vandehey (2012)
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.
Karl Dilcher, Kenneth B. Stolarsky (2009)
Acta Arithmetica
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Takao Komatsu (2003)
Acta Arithmetica
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Henry Cohn (1996)
Acta Arithmetica
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