AbstractWe prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in ∇(pn). Here ∇ denotes the Bergeron–Garsia nabla operator, and pn is a power-sum symmetric function. The combinatorial formula enumerates lattice paths in an n×n square according to two suitable statistics
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
Let Rn be the ring of coinvariants for the diagonal action of the symmetric group Sn. It is known t...
A “Latin square of order n” is an “n by n” array of the symbols 1, 2, ... , n, such that each symbol...
The combinatorial q, t-Catalan numbers are weighted sums of Dyck paths introduced by J. Haglund and ...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
This thesis consists of two different parts. In the first part, we give a proof of the q, t-square c...
This thesis consists of two different parts. In the first part, we give a proof of the q, t-square c...
AbstractIn 1996, Garsia and Haiman introduced a bivariate analogue of the Catalan numbers that count...
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular ana...
AbstractIn [A conjectured combinatorial formula for the Hilbert series for diagonal harmonics, in: P...
The symmetric function operator, nabla, introduced by Bergeron and Garsia(1999), has many astounding...
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
A “Latin square of order n” is an “n by n” array of the symbols 1, 2, ... , n, such that each symbol...
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
Let Rn be the ring of coinvariants for the diagonal action of the symmetric group Sn. It is known t...
A “Latin square of order n” is an “n by n” array of the symbols 1, 2, ... , n, such that each symbol...
The combinatorial q, t-Catalan numbers are weighted sums of Dyck paths introduced by J. Haglund and ...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
This thesis consists of two different parts. In the first part, we give a proof of the q, t-square c...
This thesis consists of two different parts. In the first part, we give a proof of the q, t-square c...
AbstractIn 1996, Garsia and Haiman introduced a bivariate analogue of the Catalan numbers that count...
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular ana...
AbstractIn [A conjectured combinatorial formula for the Hilbert series for diagonal harmonics, in: P...
The symmetric function operator, nabla, introduced by Bergeron and Garsia(1999), has many astounding...
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
A “Latin square of order n” is an “n by n” array of the symbols 1, 2, ... , n, such that each symbol...
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
We study the statistics area, bounce and dinv associated to polyominoes in a rectangular box m times...
Let Rn be the ring of coinvariants for the diagonal action of the symmetric group Sn. It is known t...
A “Latin square of order n” is an “n by n” array of the symbols 1, 2, ... , n, such that each symbol...
DOI
Add to ORKG