The signed Eulerian numbers

DOI10.1016/0012-365X(92)90364-LzbMath0769.05094WikidataQ60698826 ScholiaQ60698826MaRDI QIDQ1191941

Désarménien, Jacques, Foata, Dominique

Publication date: 27 September 1992

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

classical Eulerian numberssigned Eulerian numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Symmetric functions and generalizations (05E05)

Related Items (21)

Signed Mahonian polynomials for classical Weyl groups ⋮ Descents and one-dimensional characters for classical Weyl groups ⋮ Odd length for even hyperoctahedral groups and signed generating functions ⋮ Counting derangements with signed right-to-left minima and excedances ⋮ Around the \(q\)-binomial-Eulerian polynomials ⋮ Signed alternating descent enumeration in classical Weyl groups ⋮ A refined sign-balance of simsun permutations ⋮ Unnamed Item ⋮ Signed excedance enumeration in classical and affine Weyl groups ⋮ Anti-exceedances in permutation groups ⋮ Parity alternating permutations and signed Eulerian numbers ⋮ Signed Euler-Mahonian identities ⋮ An involution for signed Eulerian numbers ⋮ A directed graph structure of alternating sign matrices ⋮ Multibasic Eulerian Polynomials ⋮ Signed Mahonians ⋮ Combinatorics of the group of parity alternating permutations ⋮ Signed excedance enumeration via determinants ⋮ On the joint distribution of descents and signs of permutations ⋮ Gamma positivity of the descent based Eulerian polynomial in positive elements of classical Weyl groups ⋮ Two refined major-balance identities on 321-avoiding involutions

Cites Work

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• An analogue of Kummer congruences for \(q\)-Euler numbers
• Statistiques d'ordre sur les permutations colorées. (Order statistics on coloured permutations)
• An involution for signed Eulerian numbers
• Binomial posets, Möbius inversion, and permutation enumeration
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Théorie géométrique des polynômes eulériens
• Fonctions symétriques associées à des suites classiques de nombres
• Major Index and Inversion Number of Permutations

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