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arXiv · 2007.10713

Mahler's and Koksma's classifications in fields of power series

Jason Bell·Yann Bugeaud
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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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Jason Bell, Yann Bugeaud. 2020-07-21. Mahler's and Koksma's classifications in fields of power series. https://arxiv.org/abs/2007.10713

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