Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Divisibility of Character Values of the Symmetric Group   Fix a partition $\mu=(\mu_1,\dotsc,\mu_m)$ of an integer $k$ and positive
integer $d$. For each $n>k$, let $\chi^\lambda_\mu$ denote the value of the
irreducible character of $S_n$ at a permutation with cycle type
$(\mu_1,\dotsc,\mu_m,1^{n-k})$. We show that the proportion of partitions
$\lambda$ of $n$ such that $\chi^\lambda_\mu$ is divisible by $d$ approaches
$1$ as $n$ approaches infinity.

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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an