Date(s) - 20/05/2014
11 h 00 min - 12 h 00 min
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.