Mahler's and Koksma's classifications in fields of power series
Number Theory
2020-07-22 v1
Abstract
Let a prime power and the finite field of elements. We study the analogues of Mahler's and Koksma's classifications of complex numbers for power series in . Among other results, we establish that both classifications coincide, thereby answering a question of Ooto.
Cite
@article{arxiv.2007.10713,
title = {Mahler's and Koksma's classifications in fields of power series},
author = {Jason Bell and Yann Bugeaud},
journal= {arXiv preprint arXiv:2007.10713},
year = {2020}
}