On fourteen equidistribution conjectures of Lv and Zhang and monotone mesh patterns with corner shadings

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Bibliographic Details
Main Authors:	Fang, Qi, Fu, Shishuo, Kitaev, Sergey, Li, Haijun
Format:	Preprint
Published:	2025
Subjects:	Combinatorics
Online Access:	Acceder al recurso
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_version_	1866909677296549888
author	Fang, Qi Fu, Shishuo Kitaev, Sergey Li, Haijun
author_facet	Fang, Qi Fu, Shishuo Kitaev, Sergey Li, Haijun
contents	Three complementation-like involutions are constructed on permutations to prove, and in some cases generalize, all remaining fourteen joint symmetric equidistribution conjectures of Lv and Zhang. Further enumerative results are obtained for several classes of (mesh) pattern-avoiding permutations, where the shadings of all involved mesh patterns are restricted to an opposing pair of corners.
format	Preprint
id	arxiv_https___arxiv_org_abs_2507_04698
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	On fourteen equidistribution conjectures of Lv and Zhang and monotone mesh patterns with corner shadings Fang, Qi Fu, Shishuo Kitaev, Sergey Li, Haijun Combinatorics Three complementation-like involutions are constructed on permutations to prove, and in some cases generalize, all remaining fourteen joint symmetric equidistribution conjectures of Lv and Zhang. Further enumerative results are obtained for several classes of (mesh) pattern-avoiding permutations, where the shadings of all involved mesh patterns are restricted to an opposing pair of corners.
title	On fourteen equidistribution conjectures of Lv and Zhang and monotone mesh patterns with corner shadings
topic	Combinatorics
url	https://arxiv.org/abs/2507.04698

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