A Note on Hurwitzian Numbers

Yusuf HARTONO; Cor KRAAIKAMP

doi:10.3836/tjm/1244208859

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Home > Journals > Tokyo J. Math. > Volume 25 > Issue 2 > Article

December 2002 A Note on Hurwitzian Numbers

Yusuf HARTONO, Cor KRAAIKAMP

Tokyo J. Math. 25(2): 353-362 (December 2002). DOI: 10.3836/tjm/1244208859

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Abstract

In this note Hurwitzian numbers are defined for the nearest integer, and backward continued fraction expansions, and Nakada's $\alpha$-expansions. It is shown that the set of Hurwitzian numbers for these continued fractions coincides with the classical set of such numbers.