Characterization of 2-Pisot Elements in the Field of Laurent Series over a Finite Field
Mabrouk Ben Nasr, Hassen Kthiri · Mathematical Notes · 2020
Let F q be a finite field, and let F q [ X ] be the ring of polynomials with coefficients in F q . A 2-Pisot element is a pair of algebraic integers of formal Laurent series over F q [ X ] with absolute value strictly greater than 1 and such that all remaining conjugates have an absolute value strictly smaller than 1. Our paper is devoted to characterize 2-Pisot elements in the case q ≠ 2r.