Let β β be a unit Pisot quadratic series over a finite field F _ q F q. We define and study a
continued β β-fraction algorithm, inspired by Euclid's algorithm. We show that any element of …

This paper focuses on greedy expansions, one possible representation of numbers, and on
arithmetical operations with them. Performing addition or multiplication some additional …

Let β be a unit Pisot quadratic series over a finite field Fq. We define and study a continued β-
fraction algorithm, inspired by Euclid's algorithm. We show that any element of Fq (x, β) has …

Let β be a formal series over a finite field with deg⁡(β)= 2. The aim of this paper is to give, for
some Pisot series, the exact value of maximal length of the finite β-fractional parts in the β …

Abstract Let(()) 1-xq be a quadratic Pisot unit formal power series such that() 2 deg= β and
let ()., β∈ xq f It is shown in [4] that f has a finite continued β-fraction or an infinite …