On a two-valued sequence and related continued fractions in power series fields
ALLOMBERT, Bill
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
BRISEBARRE, Nicolas
Arithmetic and Computing [ARIC]
Laboratoire de l'Informatique du Parallélisme [LIP]
Arithmetic and Computing [ARIC]
Laboratoire de l'Informatique du Parallélisme [LIP]
ALLOMBERT, Bill
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
BRISEBARRE, Nicolas
Arithmetic and Computing [ARIC]
Laboratoire de l'Informatique du Parallélisme [LIP]
< Reduce
Arithmetic and Computing [ARIC]
Laboratoire de l'Informatique du Parallélisme [LIP]
Language
en
Article de revue
This item was published in
Ramanujan Journal. 2018, vol. 45, n° 3, p. 859-871
Springer Verlag
English 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 ...Read more >
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.Read less <
English Keywords
power series over a finite field
finite alphabet
finite automata
formal power series
continued fractions
words
automatic sequences
Origin
Hal imported