Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continued fractions for a class of triangle groups   We give continued fraction algorithms for a particular class of Fuchsian
triangle groups. In particular, we give an explicit form of each such group
that is a subgroup of the Hilbert modular group of its trace field and provide
an interval map that is piecewise linear fractional, given in terms of group
elements. Using natural extensions, we find an ergodic invariant measure for
the interval map. We also study diophantine properties of approximation in
terms of the continued fractions; and furthermore show that these continued
fractions are appropriate to obtain transcendence results.

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The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs