AbstractCombinatorial proofs of the identities ∑w∈MqInv(w)=n1+n2+⋯+nkn1,n2,⋯,n1=∑w∈Mqz(w) are given and bijections are constructed between the sets {w ∈ M | Inv(w) = m}, {w ∈ M | Maj(w) = m}, {w ∈ M | Z(w) = m}, where M is the collection of all multiset permutations with n11's, n22's,…,nkk's, Inv(w) is the inversion number of w, Maj(w) is its major index and Z(w) is the z-index of w
Let [n] = {1, 2, 3,..., n} be the set of the first n positive integers. A permutation π is a biject...
Abstract. It is well-known, and was first established by Knuth in 1969, that the number of 321-avoid...
In this paper, we present a number of results surrounding Caselli's conjecture on the equidistributi...
AbstractWe define new Mahonian statistics, called MAD, MAK, and ENV, on words. Of these, ENV is show...
AbstractWe present a new proof of the well-known combinatorial result [nk]q = Σw qMaj(w) where w is ...
We define new Mahonian statistics, called mad, mak and env, on words. Of these, env is shown to equa...
We study the enumeration of combinatorial objects by number of occurrences of patterns and other sta...
We present a new proof of the well-known combinatorial result [nk]q = [Sigma]w qMaj(w) where w is a ...
AbstractWe introduce a natural extension of Adin, Brenti, and Roichman’s major-index statistic nmaj ...
Two of the present authors have given in 1993 a bijection Phi between words on a totally ordered alp...
AbstractIn the combinatorial study of the coefficients of a bivariate polynomial that generalizes bo...
International audienceIn 2000, Babson and Steingrímsson introduced the notion of what is now known a...
AbstractA generalization of the classical statistics “maj” and “inv” (the major index and number of ...
AbstractWe consider a bivariate polynomial that generalizes both the length and reflection length ge...
AbstractWe give here a bijective proof of a relation between binomial coefficients and the distribut...
Let [n] = {1, 2, 3,..., n} be the set of the first n positive integers. A permutation π is a biject...
Abstract. It is well-known, and was first established by Knuth in 1969, that the number of 321-avoid...
In this paper, we present a number of results surrounding Caselli's conjecture on the equidistributi...
AbstractWe define new Mahonian statistics, called MAD, MAK, and ENV, on words. Of these, ENV is show...
AbstractWe present a new proof of the well-known combinatorial result [nk]q = Σw qMaj(w) where w is ...
We define new Mahonian statistics, called mad, mak and env, on words. Of these, env is shown to equa...
We study the enumeration of combinatorial objects by number of occurrences of patterns and other sta...
We present a new proof of the well-known combinatorial result [nk]q = [Sigma]w qMaj(w) where w is a ...
AbstractWe introduce a natural extension of Adin, Brenti, and Roichman’s major-index statistic nmaj ...
Two of the present authors have given in 1993 a bijection Phi between words on a totally ordered alp...
AbstractIn the combinatorial study of the coefficients of a bivariate polynomial that generalizes bo...
International audienceIn 2000, Babson and Steingrímsson introduced the notion of what is now known a...
AbstractA generalization of the classical statistics “maj” and “inv” (the major index and number of ...
AbstractWe consider a bivariate polynomial that generalizes both the length and reflection length ge...
AbstractWe give here a bijective proof of a relation between binomial coefficients and the distribut...
Let [n] = {1, 2, 3,..., n} be the set of the first n positive integers. A permutation π is a biject...
Abstract. It is well-known, and was first established by Knuth in 1969, that the number of 321-avoid...
In this paper, we present a number of results surrounding Caselli's conjecture on the equidistributi...
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