Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intrinsic approximation for fractals defined by rational iterated
  function systems - Mahler's research suggestion   Following K. Mahler's suggestion for further research on intrinsic
approximation on the Cantor ternary set, we obtain a Dirichlet type theorem for
the limit sets of rational iterated function systems. We further investigate
the behavior of these approximation functions under random translations. We
connect the information regarding the distribution of rationals on the limit
set encoded in the system to the distribution of rationals in reduced form by
proving a Khinchin type theorem. Finally, using a result of S. Ramanujan, we
prove a theorem motivating a conjecture regarding the distribution of rationals
in reduced form on the Cantor ternary set.

12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex