2 problems

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Hivert–Mallet–Mallet vectorial conjecture for irreducible k-shapes and surjective pistols
For $k\geq 3$ , let $IS_k$ be the set of irreducible $k$ -shapes. For an irreducible $k$ -shape $\lambda$ , let $\overrightarrow{fr}(\lambda)=(t_1,\ldots,t_{k-2})\in\{0,1\}^{k-2}$ reco…
Conjectureopenbijections enumerative-combinatorics k-shapesarXiv posted 2 days ago
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Hivert–Mallet's Gandhi polynomial conjecture for irreducible k-shapes
Hivert–Mallet's conjecture. For the relevant integers $k$ , the Gandhi polynomial satisfies
Conjectureopenenumerative-combinatorics genocchi-numbers k-shapesarXiv posted 2 days ago

Hivert–Mallet–Mallet vectorial conjecture for irreducible k-shapes and surjective pistols