Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom