Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schur partition theorems via perfect crystal   We propose a generalization of Schur regular partitions for each odd integer
$p\geq 3$. Applying Kashiwara crystal theory, we prove that the number of
partitions of $n$ with this condition is equinumerous to the number of strict
$p$-class regular partitions of $n$. At $p=3$, it is Schur's 1926 partition
theorem found as a mod 6 analog of the Rogers-Ramanujan partition theorem
(RRPT). The statement for $p=5$ was conjectured by Andrews in 1970s in a course
of his 3 parameter generalization of RRPT and proved in 1994 by
Andrews-Bessenrodt-Olsson with an aid of computer.

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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph