The Continued Fractions Ladder of Specific Pairs of Irrationals
Mitja Lakner, Peter Petek, Marjeta Škapin Rugelj
Journal of Advances in Mathematics and Computer Science · pp. 1827–1834 · Published 8 May 2014
10.9734/BJMCS/2014/9892Abstract
Quadratic irrationals posses a periodic continued fraction expansion. Much less is known about cubic irrationals. We do not even know if the partial quotients are bounded, even though extensive computations suggest they might follow Kuzmin’s probability law. Results are given for sequences of partial quotients of positive irrational numbers and with m a natural number. A big partial quotient in one sequence finds a connection in the other.
Cited by 2
Y. Basalov · 2018
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