Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the arithmetic of Pad\'e approximants to the exponential function   The $(u,v)$-Pad\'e approximation to a function $f$ is the (unique, up to
scaling) rational approximation $f(x) = P(x)/Q(x) + O(x^{u+v+1})$, where $P$
has degree $u$ and $Q$ has degree $v$. Motivated by recent work of Molin,
Pazuki, and Rabarison, we study the arithmetic of the Pad\'e approximants of
the exponential polynomials. By viewing the approximants as certain Generalized
Laguerre Polynomials, we determine the Galois groups of the diagonal
approximants and prove some special cases of irreducibility.

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The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con