A Lucas-type congruence for \(q\)-Delannoy numbers

DOI10.1016/j.disc.2022.113260OpenAlexW2218514107MaRDI QIDQ2685310

Yanyan Li

Publication date: 21 February 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02046

zbMATH Keywords

group actioncongruencelattice path

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

Unnamed Item ⋮ Congruences modulo cyclotomic polynomials and algebraic independence for \(q\)-series

Cites Work

• Unnamed Item
• Unnamed Item
• Congruences via Abelian groups
• Congruences derived from group action
• Congruence properties of \(q\)-analogs
• The Lucas property of a number array
• Congruences for \(q\)-Lucas numbers
• A combinatorial approach to the power of 2 in the number of involutions
• Arithmetic of weighted Catalan numbers
• A \(q\)-analogue of Wilson's congruence
• What power of two divides a weighted Catalan number?
• Congruences for Catalan and Motzkin numbers and related sequences
• Why Delannoy numbers?
• Divisibility of generalized Catalan numbers

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