Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A convergence theorem for continued fractions of the form
  $K_{n=1}^{\infty} a_{n}/1$   In this paper we present a convergence theorem for continued fractions of the
form $K_{n=1}^{\infty}a_{n}/1$. By deriving conditions on the $a_{n}$ which
ensure that the odd and even parts of $K_{n=1}^{\infty}a_{n}/1$ converge, these
same conditions also ensure that they converge to the same limit. Examples will
be given.

27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph