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MAHLER’S AND KOKSMA’S CLASSIFICATIONS IN FIELDS OF POWER SERIES
Published online by Cambridge University Press: 07 June 2021
Abstract
Let q a prime power and ${\mathbb F}_q$ the finite field of q elements. 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.
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- © (2021) The Authors. The publishing rights in this article are licenced to Foundation Nagoya Mathematical Journal under an exclusive license
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