Université de Sfax
Date(s) : 20/05/2014 iCal
11 h 00 min - 12 h 00 min
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.