Pythagorean primes and palindromic continued fractions.
Benjamin, Arthur T., Zeilberger, Doron (2005)
Integers
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Benjamin, Arthur T., Zeilberger, Doron (2005)
Integers
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Amedeo Scremin (2006)
Acta Arithmetica
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Ernest S. Croot III (2001)
Acta Arithmetica
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Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
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Peter SZÜSZ, Andrew M. Rockett (1990)
Forum mathematicum
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Takao Komatsu (2003)
Acta Arithmetica
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James Mc Laughlin (2008)
Acta Arithmetica
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Boris Adamczewski (2010)
Acta Arithmetica
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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.
Bruce C. Berndt, Sun Kim, M. Tip Phaovibul, Alexandru Zaharescu (2013)
Acta Arithmetica
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We study the question: How often do partial sums of power series of functions coalesce with convergents of the (simple) continued fractions of the functions? Our theorems quantitatively demonstrate that the answer is: not very often. We conjecture that in most cases there are only a finite number of partial sums coinciding with convergents. In many of these cases, we offer exact numbers in our conjectures.
Ustinov, A.V. (2005)
Journal of Mathematical Sciences (New York)
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J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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