Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing the transcendence conjectures of a modular involution of the
  real line and its continued fraction statistics   We study the values of the recently introduced involution J (jimm) of the
real line, which is equivariant with the action of the group PGL(2,Z). We test
our conjecture that this involution sends algebraic numbers of degree at least
three to transcendental values. We also deduce some theoretical results
concerning the continued fraction statistics of the generic values of this
involution and compare them with the experimental results.

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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph