Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mahler's and Koksma's classifications in fields of power series   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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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: solv-int