MAHLER’S AND KOKSMA’S CLASSIFICATIONS IN FIELDS OF POWER SERIES
Jason P. Bell, Yann Bugeaud · Nagoya Mathematical Journal · 2021
Abstract Letqa prime power and ${\mathbb F}_q$ the finite field ofqelements. We study the analogues of Mahler’s and Koksma’s classifications of complex numbers for power series in ${\mathbb F}_q((T^{-1}))$ . Among other results, we establish that both classifications coincide, thereby answering a question of Ooto.