Irreducibility criterion and 2-pisot series in positive character
Ammar Ben, Hassen Kthiri · Publications de l Institut Mathematique · 2019
Let Fq((X?1)) be the field of formal power series over a finite field Fq. We characterize a pair of roots that lies outside the unit disc while all remaining conjugates have a modulus strictly less than 1. In particular, we provide a sufficient condition for a pair of formal power series to be a 2-Pisot series. We also give an irreducibility criterion over Fq [X].