Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Odd-odd continued fraction algorithm   By using a jump transformation associated to the Romik map, we define a new
continued fraction algorithm called odd-odd continued fraction, whose principal
convergents are rational numbers of odd denominators and odd numerators. Among
others, it is proved that all the best approximating rationals of odd
denominators and odd numerators of an irrational number are given by the
principal convergents of the odd-odd continued fraction algorithm and vice
versa.

7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org