Two new 𝑞-supercongruences arising from Carlitz’s identity

DOI10.1090/proc/16705arXiv2304.00298MaRDI QIDQ6203205

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Publication date: 27 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00298

zbMATH Keywords

cyclotomic polynomials\(q\)-supercongruencesCarlitz's identity

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Cites Work

• Unnamed Item
• Binomial coefficients, Catalan numbers and Lucas quotients
• New congruences for central binomial coefficients
• Some congruences involving central \(q\)-binomial coefficients
• A generalization of Morley's congruence
• Some \(q\)-congruences arising from certain identities
• Some generalizations of a congruence by Sun and Tauraso
• On the divisibility of \(q\)-trinomial coefficients
• Some q-analogs of congruences for central binomial sums
• Proof of a q-congruence conjectured by Tauraso
• New $q$-analogues of a congruence of Sun and Tauraso

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