Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A stronger version of a question proposed by K. Mahler   In 1902, P. St\"ackel proved the existence of a transcendental function
$f(z)$, analytic in a neighbourhood of the origin, and with the property that
both $f(z)$ and its inverse function assume, in this neighbourhood, algebraic
values at all algebraic points. Based on this result, in 1976, K. Mahler raised
the question of the existence of such functions which are analytic in
$\mathbb{C}$. Recently, the authors answered positively this question. In this
paper, we prove a much stronger version of this result by considering other
subsets of $\mathbb{C}$.

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an