# On a two-valued sequence and related continued fractions in power series fields

2 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : We explicitly describe a noteworthy transcendental continued fraction in the field of power series over Q, having irrationality measure equal to 3. This continued fraction is a generating function of a particular sequence in the set {1, 2}. The origin of this sequence, whose study was initiated in a recent paper, is to be found in another continued fraction, in the field of power series over $\mathbb{F}_3$, which satisfies a simple algebraic equation of degree 4, introduced thirty years ago by D. Robbins.
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Article dans une revue
The Ramanujan Journal, inPress, 〈10.1007/s11139-017-9892-7〉

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https://hal.archives-ouvertes.fr/hal-01348576
Contributeur : Nicolas Brisebarre <>
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Dernière modification le : vendredi 20 avril 2018 - 15:44:26
Document(s) archivé(s) le : jeudi 15 juin 2017 - 15:13:40

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Bill Allombert, Nicolas Brisebarre, Alain Lasjaunias. On a two-valued sequence and related continued fractions in power series fields . The Ramanujan Journal, inPress, 〈10.1007/s11139-017-9892-7〉. 〈hal-01348576v3〉

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