Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Folding Phenomenon of Major-balance Identities on Restricted Involutions   In this paper we prove a refined major-balance identity on the $321$-avoiding
involutions of length $n$, respecting the leading element of permutations. The
proof is based on a sign-reversing involution on the lattice paths within a
$\lfloor\frac{n}{2}\rfloor\times\lceil\frac{n}{2}\rceil$ rectangle. Moreover,
we prove affirmatively a question about refined major-balance identity on the
$123$-avoiding involutions, respecting the number of descents.

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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph