Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Sylvester sums on the Frobenius set   Let $a$ and $b$ be relatively prime positive integers. In this paper the
weighted sum $\sum_{n\in{\rm NR}(a,b)}\lambda^{n-1}n^m$ is given explicitly or
in terms of the Apostol-Bernoulli numbers, where $m$ is a nonnegative integer,
and ${\rm NR}(a,b)$ denotes the set of positive integers nonrepresentable in
terms of $a$ and $b$.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess