Open AccessIrreducibility criterion and 2-pisot series in positive character
Author(s) -
Ammar Ben Mabrouk,
Hassen Kthiri
Publication year - 2019
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1919151b
Subject(s) - irreducibility , mathematics , series (stratigraphy) , character (mathematics) , formal power series , field (mathematics) , power series , unit (ring theory) , pure mathematics , combinatorics , mathematical analysis , geometry , paleontology , biology , mathematics education
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].