论文标题

Mahler's和Koksma在Power系列领域的分类

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

论文作者

Bell, Jason, Bugeaud, Yann

论文摘要

令$ q $ a Prime Power和$ {\ Mathbb F} _Q $ $ Q $元素的有限字段。我们研究了Mahler's和Koksma在$ {\ Mathbb f} _Q(((T^{ - 1}))中,Power系列的复数分类的类似物。除其他结果外,我们确定这两种分类都重合,从而回答了Ooto的问题。

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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