On Mahler's U<sub>m</sub>-numbers in fields of formal power series over finite fields

Can, Busra; KEKEÇ, Gülcan

On Mahler's U<sub>m</sub>-numbers in fields of formal power series over finite fields

Atıf İçin Kopyala

Can B., KEKEÇ G.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, sa.1, ss.79-89, 2024 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2024
Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.79-89
İstanbul Üniversitesi Adresli: Evet

Özet

Let K be a finite field, K(x) be the quotient field of the ring of polynomials in x with coefficients in K and K be the field of formal power series over K. In this paper, we treat polynomials whose coefficients belong to a field extension of degree m over K(x). We show that the values of these polynomials at certain U-1-numbers in the field K are U-m- numbers in K.