A localized uniformly Jarník set in continued fractions
Yuanhong Chen, Yu Sun, Xiaojun Zhao (2015)
Acta Arithmetica
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Yuanhong Chen, Yu Sun, Xiaojun Zhao (2015)
Acta Arithmetica
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Boris Adamczewski (2010)
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Takao Komatsu (2003)
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James Mc Laughlin (2008)
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Florin P. Boca, Joseph Vandehey (2012)
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Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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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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Xue Hai Hu, Jun Wu (2009)
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Ustinov, A.V. (2005)
Journal of Mathematical Sciences (New York)
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Boonrod Yuttanan (2012)
Acta Arithmetica
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Komatsu, Takao (2006)
Mathematica Pannonica
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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.
D. Bowman, J. Mc Laughlin (2002)
Acta Arithmetica
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