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Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients

Yusuf Hartono; Cor Kraaikamp; Fritz Schweiger — 2002

Journal de théorie des nombres de Bordeaux

In this paper the Engel continued fraction (ECF) expansion of any $x \in (0, 1)$ is introduced. Basic and ergodic properties of this expansion are studied. Also the relation between the ECF and F. Ryde’s (MNK) is studied.

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