The q, t-symmetry of the generalized q, t-Catalan number C(k1,k2,k3)(q,t)

We present two distinct proofs of the q ,  t -symmetry for the generalized q ,  t -Catalan number C k → ( q , t ) , where k → = ( k 1 , k 2 , k 3 ) . The first proof is derived through the application of MacMahon’s partition analysis. The second proof is established via a direct bijection.

Bibliographische Detailangaben

Veröffentlicht in:	Journal of algebraic combinatorics 2025-02, Vol.61 (1), Article 8
Hauptverfasser:	Xin, Guoce, Zhang, Yingrui
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computer Science Convex and Discrete Geometry Group Theory and Generalizations Lattices Mathematics Mathematics and Statistics Order Ordered Algebraic Structures Symmetry
Online-Zugang:	Volltext
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