Geodesic
On some Euler-Mahonian distributions
Angela Carnevale1
1Bielefeld University
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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We prove that the pair of statistics (des,maj) on multiset permutations is equidistributed with the pair (stc,inv) on certain quotients of the symmetric group. We define an analogue of the statistic stc on multiset permutations whose joint distribution with the inversions equals that of (des,maj). We extend the definition of the statistic stc to hyperoctahedral and even hyperoctahedral groups. These functions, together with the Coxeter length, are equidistributed with (ndes,nmaj) and (ddes,dmaj), respectively.
DOI : 10.37236/6702
Classification : 05A05
Mots-clés : permutation statistics, generating functions

Angela Carnevale  1

1 Bielefeld University 
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     author = {Angela Carnevale},
     title = {On some {Euler-Mahonian} distributions},
     journal = {The electronic journal of combinatorics},
     year = {2017},
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     number = {3},
     doi = {10.37236/6702},
     zbl = {1369.05004},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6702/}
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Angela Carnevale. On some Euler-Mahonian distributions. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6702

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