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math.NT2020
A Lochs-Type Approach via Entropy in Comparing the Efficiency of Different Continued Fraction Algorithms
Dan Lascu, Gabriela Ileana Sebe
We investigate the efficiency of several types of continued fraction expansions of a number in the unit interval using a generalization of Lochs theorem from 1964. Thus, we aimed t…
math.NT2020
Two asymptotic distributions related to Rényi-type continued fraction expansions
Gabriela Ileana Sebe, Dan Lascu
We attempt to investigate a two-dimensional Gauss-Kuzmin theorem for Rényi-type continued fraction expansions. More precisely speaking, our focus is to obtain specific lower and up…