A rational Catalan formula for \((m,3)\)-Hikita polynomials (Q1700785)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A rational Catalan formula for \((m,3)\)-Hikita polynomials |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A rational Catalan formula for \((m,3)\)-Hikita polynomials |
scientific article |
Statements
A rational Catalan formula for \((m,3)\)-Hikita polynomials (English)
0 references
22 February 2018
0 references
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.
0 references
Catalan
0 references
Dyck path
0 references
parking function
0 references
shuffle theorem
0 references
rational shuffle theorem
0 references
