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Denert's Permutation Statistic Is Indeed Euler‐Mahonian
Author(s) -
Foata Dominique,
Zeilberger Doron
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm199083131
Subject(s) - statistic , permutation (music) , mathematics , bivariate analysis , conjecture , combinatorics , euler's formula , resampling , random permutation , distribution (mathematics) , index (typography) , statistics , symmetric group , mathematical analysis , computer science , physics , world wide web , acoustics
A conjecture by Marleen Denert concerning a bivariate statistic on the permutation group is proved. The statistic has the same distribution as the pair consisting of the number of descents and the major index.