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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2604.00245 |
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| _version_ | 1866915904252542976 |
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| author | Pons, Viviane Mogne, Loïc Le |
| author_facet | Pons, Viviane Mogne, Loïc Le |
| contents | We study the $(q,t)$-enumeration of triangular Dyck paths considered by Bergeron and Mazin. To do so, we introduce the notion of triangular and sim-sym tableaux and the deficit statistic which is a new interpretation of the dinv. We use it to obtain new results and proofs on triangular $2$-partitions and an interesting conjecture for a certain lattice interval $(q,t,r)$-enumeration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00245 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deficit and $(q,t)$-symmetry in triangular partitions Pons, Viviane Mogne, Loïc Le Combinatorics We study the $(q,t)$-enumeration of triangular Dyck paths considered by Bergeron and Mazin. To do so, we introduce the notion of triangular and sim-sym tableaux and the deficit statistic which is a new interpretation of the dinv. We use it to obtain new results and proofs on triangular $2$-partitions and an interesting conjecture for a certain lattice interval $(q,t,r)$-enumeration. |
| title | Deficit and $(q,t)$-symmetry in triangular partitions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2604.00245 |