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


Can B., KEKEÇ G.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, no.1, pp.79-89, 2024 (SCI-Expanded) identifier

Abstract

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.