Congruences for \(q\)-Lucas numbers

zbMath1267.05036MaRDI QIDQ1953514

Hao Pan

Publication date: 7 June 2013

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i2p29

zbMATH Keywords

group actionset partition\(q\)-Lucas number

Mathematics Subject Classification ID

Partitions of sets (05A18) (q)-calculus and related topics (05A30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

A Lucas-type congruence for \(q\)-Delannoy numbers ⋮ A \(q\)-analogue of Wilson's congruence ⋮ q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

Cites Work

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• Combinatorial proofs of various \(q\)-Pell identities via tilings
• Congruence properties of \(q\)-analogs
• \(q\)-Pell sequences and two identities of V. A. Lebesgue
• Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers
• Set partition statistics and \(q\)-Fibonacci numbers

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