Elliptic and \(q\)-analogs of the fibonomial numbers

DOI10.3842/SIGMA.2020.076zbMath1471.11044arXiv1911.12785MaRDI QIDQ5970892

Cesar Ceballos, Nantel Bergeron, Josef Küstner

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12785

zbMATH Keywords

Fibonacci\(q\)-analogelliptic analogfibonomialweighted enumeration

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

A weighted extension of Fibonacci numbers ⋮ Enumeration of standard barely set-valued tableaux of shifted shapes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarkable new plethystic operators in the theory of Macdonald polynomials
• Torus knots and the rational DAHA
• Refined knot invariants and Hilbert schemes
• Elliptic rook and file numbers
• \(q\)-distributions on boxed plane partitions
• From Anderson to zeta
• \(BC_n\)-symmetric abelian functions
• Elliptic enumeration of nonintersecting lattice paths
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Weight-dependent commutation relations and combinatorial identities
• A note on: rectangular Schröder parking functions combinatorics
• Lucas atoms
• A noncommutative weight-dependent generalization of the binomial theorem
• Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers
• Generalized Fibonacci polynomials and fibonomial coefficients
• Representations of rational Cherednik algebras with minimal support and torus knots.
• Open questions for operators related to rectangular Catalan combinatorics
• Affine Springer fibers of type \(A\) and combinatorics of diagonal coinvariants
• Affine permutations and rational slope parking functions
• Higher Green's functions for modular forms
• Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences
• Compositional (km,kn)-Shuffle Conjectures
• On a refinement of the generalized Catalan numbers for Weyl groups
• Elliptic Hypergeometric Functions
• Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients
• The fractal nature of the Fibonomial triangle

This page was built for publication: Elliptic and \(q\)-analogs of the fibonomial numbers