Generating functions for alternating descents and alternating major index

DOI10.1007/s00026-012-0150-9zbMath1256.05009OpenAlexW2013163183MaRDI QIDQ1928569

Jeffery B. Remmel

Publication date: 3 January 2013

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-012-0150-9

zbMATH Keywords

generating functionsymmetric functionsjoint distributionalternating descent setalternating major index

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Related Items

Positivity and divisibility of enumerators of alternating descents, Shuffle-compatible permutation statistics, Some results related to Hurwitz stability of combinatorial polynomials, Signed alternating descent enumeration in classical Weyl groups, Enumeration of permutations by the parity of descent positions, Enumeration of permutations by number of alternating descents, Counting permutations by alternating descents, Homomorphisms on noncommutative symmetric functions and permutation enumeration, Alternating Eulerian polynomials and left peak polynomials

Cites Work

• Unnamed Item
• Variations on descents and inversions in permutations
• Brick tabloids and the connection matrices between bases of symmetric functions
• Enumeration of pairs of sequences by rises, falls and levels
• Permutation enumeration symmetric functions, and unimodality
• Signed permutation statistics
• More statistics on permutation pairs
• The combinatorics of symmetric functions and permutation enumeration of the hyperoctahedral group
• Statistics on pairs of permutations
• Permutation enumeration of the symmetric group and the combinatorics of symmetric functions
• Descents, inversions, and major indices in permutation groups
• Sequences and inversions
• Unimodal Polynomials Arising from Symmetric Functions
• Enumeration of permutations by rises, falls, rising maxima and falling maxima
• The flag major index and group actions on polynomial rings.