A finite field approach to the Carlitz-Riordan \(q\)-Catalan numbers

DOI10.1007/s10801-022-01141-2zbMath1500.05006OpenAlexW4280505733MaRDI QIDQ2084689

Yanyan Li

Publication date: 18 October 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-022-01141-2

zbMATH Keywords

finite fieldinversion number\(q\)-Catalan numberfull flag

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Finite fields (field-theoretic aspects) (12E20)

Cites Work

• q-Catalan numbers
• Two element lattice permutation numbers and their \(q\)-generalization
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