A rational Catalan formula for \((m,3)\)-Hikita polynomials
type: Item
instance of: scholarly article
title: A rational Catalan formula for \((m,3)\)-Hikita polynomials
zbMATH Open document ID: 1380.05193
author: Ryan Kaliszewski
author: Debdut Karmakar
published in: The Electronic Journal of Combinatorics
publication date: 2018-02-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1612.04260
full work available at URL: v25i1p21
review text: Summary: Hikita polynomials are the combinatorial side of the rational shuffle theorem. Building upon a recent formula for \((m,3)\)-Catalan polynomials, we prove a formula for \((m,3)\)-Hikita polynomials in terms of Catalan polynomials. This formula shows a surprising relation among coefficients of Hikita polynomials and implies deeper recursive relations and proves the \(q,t\)-symmetry of \((m,3)\)-Hikita polynomials.
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 6841865
zbMATH Keywords: Catalan
zbMATH Keywords: Dyck path
zbMATH Keywords: parking function
zbMATH Keywords: shuffle theorem
zbMATH Keywords: rational shuffle theorem
MaRDI profile type: Publication
arXiv ID: 1612.04260
description: scientific article