On Mahler's classification of formal power series over a finite field

Authors

  • Gülcan Kekeç Istanbul University

DOI:

https://doi.org/10.1515/ms-2022-0017

Abstract

Let K be a finite field, K(x) be the field of rational functions in x over K and $\mathbb{K}$ be the field of formal power series over K. We show that under certain conditions integral combinations with algebraic formal power series coefficients of a U1-number in $\mathbb{K}$ are Um-numbers in $\mathbb{K}$, where m is the degree of the algebraic extension of K(x), determined by these algebraic formal power series coefficients.

Author Biography

Gülcan Kekeç, Istanbul University

Department of Mathematics
Faculty of Science
Istanbul University
34134 Vezneciler, Fatih, Istanbul
TURKEY

Published

2022-03-02

Issue

Section

Articles - Other topics