Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Part-products of $S$-restricted integer compositions   If $S$ is a cofinite set of positive integers, an "$S$-restricted composition
of $n$" is a sequence of elements of $S$, denoted
$\vec{\lambda}=(\lambda_1,\lambda_2,...)$, whose sum is $n$. For uniform random
$S$-restricted compositions, the random variable ${\bf
B}(\vec{\lambda})=\prod_i \lambda_i$ is asymptotically lognormal. The proof is
based upon a combinatorial technique for decomposing a composition into a
sequence of smaller compositions.

14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg