On fourteen equidistribution conjectures of Lv and Zhang and monotone mesh patterns with corner shadings
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909677296549888 |
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| 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 |