Some congruences on harmonic numbers and binomial sums

DOI10.1007/s10998-016-0155-yzbMath1399.11005OpenAlexW2529656924MaRDI QIDQ524174

Yong-Cai Geng, Sumit K. Garg

Publication date: 25 April 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0155-y

zbMATH Keywords

congruenceharmonic numberbinomial sum

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
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• On the divisibility properties of certain binomial sums
• Supercongruences motivated by \(e\)
• Dougall-Dixon formula and harmonic number identities
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• Some divisibility properties of binomial and \(q\)-binomial coefficients
• PROOF OF A CONGRUENCE FOR HARMONIC NUMBERS CONJECTURED BY Z.-W. SUN
• On harmonic numbers and Lucas sequences
• A new series for π³and related congruences
• Arithmetic theory of harmonic numbers
• Some congruences on truncated hypergeometric series
• Arithmetic theory of harmonic numbers (II)
• Abel's Lemma and Identities on Harmonic Numbers
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS

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