On \(q\)-congruences involving harmonic numbers

DOI10.1007/s11253-018-1445-8zbMath1450.11013OpenAlexW2765365530WikidataQ130206441 ScholiaQ130206441MaRDI QIDQ2417321

Bing He

Publication date: 12 June 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1445-8

zbMATH Keywords

harmonic numbersq-congruences

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers;Congruences with q- generalized Catalan Numbers and q-Harmonic Numbers ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Some congruences on \(q\)-Catalan numbers
• \(q\)-analogs of some congruences involving Catalan numbers
• Supercongruences motivated by \(e\)
• Some \(q\)-analogues of supercongruences of Rodriguez-Villegas
• \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
• Arithmetic theory of harmonic numbers (II)
• A q-analogue of Lehmer's congruence
• A q-Analogue of Wolstenholme's Harmonic Series Congruence

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