Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diophantine approximation of polynomials over $\mathbb{F}_q[t]$
  satisfying a divisibility condition   Let $\mathbb{F}_q[t]$ denote the ring of polynomials over $\mathbb{F}_q$, the
finite field of $q$ elements. We prove an estimate for fractional parts of
polynomials over $\mathbb{F}_q[t]$ satisfying a certain divisibility condition
analogous to that of intersective polynomials in the case of integers. We then
extend our result to consider linear combinations of such polynomials as well.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph