Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Popular Products and Continued Fractions   We prove bounds for the popularity of products of sets with weak additive
structure, and use these bounds to prove results about continued fractions.
Namely, we obtain a nearly sharp upper bound for the cardinality of Zaremba's
set modulo $p$.

12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int