AbstractThe purpose of this paper is to calculate the distributions of several joint statistics on the symmetric group and related structures that have been studied in the previous two Eulerian Calculus papers. It is shown how the Cauchy formula on symmetric functions, an old MacMahon bijection and a combinatorial lemma on skew-tableaux provide the necessary ingredients for calculating those distributions
AbstractEulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain...
Let g,h in S_n be chosen at random. Using character estimates we show that in various aspects the e...
Recently, the second author studied an Eulerian statistic (called cover) in the context of convex po...
AbstractThe purpose of this paper is to calculate the distributions of several joint statistics on t...
AbstractFurther transformations are derived on the symmetric group and related structures that exten...
AbstractIn our first Eulerian Calculus paper, we introduced the k-descent and k-excedance statistics...
AbstractIn previous work by the authors, new Mahonian statistics ENV, MAD and MAK were defined on wo...
AbstractWe introduce a family of quasisymmetric functions called Eulerian quasisymmetric functions, ...
Eulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain a q-ana...
Eulerian numbers (and ``Alternate Eulerian numbers'') are often interpreted as distributions of st...
ABSTRACT: We study several possible generalizations of the Euler-Maclaurin formula, for several vari...
21 pages, 10 figures (erreurs typographiques corrigees + des rappels sur la quantification de M. Kon...
AbstractThe main theorem proved in this paper consists of a multiplicative distribution formula for ...
Recall that Jacquet's Whittaker function for a group \(G\), in the non-Archimedean case, is essentia...
We define or redefine new Mahonian permutation statistics, called mad, mak and env. Of these, env is...
AbstractEulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain...
Let g,h in S_n be chosen at random. Using character estimates we show that in various aspects the e...
Recently, the second author studied an Eulerian statistic (called cover) in the context of convex po...
AbstractThe purpose of this paper is to calculate the distributions of several joint statistics on t...
AbstractFurther transformations are derived on the symmetric group and related structures that exten...
AbstractIn our first Eulerian Calculus paper, we introduced the k-descent and k-excedance statistics...
AbstractIn previous work by the authors, new Mahonian statistics ENV, MAD and MAK were defined on wo...
AbstractWe introduce a family of quasisymmetric functions called Eulerian quasisymmetric functions, ...
Eulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain a q-ana...
Eulerian numbers (and ``Alternate Eulerian numbers'') are often interpreted as distributions of st...
ABSTRACT: We study several possible generalizations of the Euler-Maclaurin formula, for several vari...
21 pages, 10 figures (erreurs typographiques corrigees + des rappels sur la quantification de M. Kon...
AbstractThe main theorem proved in this paper consists of a multiplicative distribution formula for ...
Recall that Jacquet's Whittaker function for a group \(G\), in the non-Archimedean case, is essentia...
We define or redefine new Mahonian permutation statistics, called mad, mak and env. Of these, env is...
AbstractEulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain...
Let g,h in S_n be chosen at random. Using character estimates we show that in various aspects the e...
Recently, the second author studied an Eulerian statistic (called cover) in the context of convex po...
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