Irreducibility criterion and 2-pisot series in positive character | Zendy

А. П. Бень | Zendy; Hassen Kthiri | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Irreducibility criterion and 2-pisot series in positive character

Author(s) -

А. П. Бень,

Hassen Kthiri

Publication year - 2019

Publication title -

publications de l institut mathematique

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].

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research