A \(q\)-analogue of Wilson's congruence

DOI10.1016/j.aam.2021.102228zbMath1469.05018arXiv1904.08857OpenAlexW3164159798MaRDI QIDQ2048378

Yu-Chen Sun, Hao Pan

Publication date: 5 August 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08857

zbMATH Keywords

major indexWilson's congruencepermutation cycle

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

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

Cites Work

• Unnamed Item
• Congruences via Abelian groups
• Congruences derived from group action
• Congruence properties of \(q\)-analogs
• Congruences for \(q\)-Lucas numbers
• A combinatorial approach to the power of 2 in the number of involutions
• What power of two divides a weighted Catalan number?
• Congruences for Catalan and Motzkin numbers and related sequences
• Divisibility of generalized Catalan numbers
• q-ANALOGUES OF WILSON'S THEOREM
• A q-analogue of Lehmer's congruence

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