β-fraction continue dans le corps des séries formelles sur un corps fini
Mohamed Hbaib
Université de Sfax
https://www.researchgate.net/profile/Mohamed-Hbaib
Date(s) : 20/05/2014 iCal
11h00 - 12h00
Continued 𝛽-fractions with formal power series over finite fields
Let be a unit Pisot quadratic series over a finite field Fq. We define a β-fraction algorithm, inspired by Euclid’s algorithm. We show that any element of Fq(x;β) has a finite continued β-fraction whenever this expansion does not finish finitely by polynomials of degree 1.
https://link.springer.com/article/10.1007/s11139-015-9725-5
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