Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian)

DOI10.1006/aama.2001.0741zbMath0994.05006OpenAlexW1994841303MaRDI QIDQ5956773

Doron Zeilberger, Foata, Dominique

Publication date: 10 October 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2001.0741

zbMATH Keywords

permutation statisticsMahonian statisticsumbral transfer method

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items (11)

The equidistribution of some Mahonian statistics over permutations avoiding a pattern of length three ⋮ Mahonian STAT on words ⋮ An involution on restricted Laguerre histories and its applications ⋮ Equidistributions of Mahonian statistics over pattern avoiding permutations ⋮ On the descent numbers and major indices for the hyperoctahedral group ⋮ A new bijective proof of Babson and Steingrímsson's conjecture ⋮ The sorting index ⋮ Special issue in honor of Dominique Foata's 65th birthday. Proceedings of the international conference on classical combinatorics (FoataFest), Temple University, Philadelphia, PA, USA, June 2000 ⋮ Classical combinatorics: Special issue in honor of Dominique Foata ⋮ From \(q\)-Stirling numbers to the ordered multiset partitions: a viewpoint from vincular patterns ⋮ Mahonian STAT on rearrangement class of words

Uses Software

• PERCY

Cites Work

• Generalized permutation patterns and a classification of the Mahonian statistics
• The umbral transfer-matrix method. I: Foundations
• Eulerian calculus. II: An extension of Han's fundamental transformation
• Eulerian Numbers and Polynomials
• Denert's Permutation Statistic Is Indeed Euler‐Mahonian
• q-Bernoulli and Eulerian Numbers

This page was built for publication: Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian)