Two congruences involving harmonic numbers with applications

DOI10.1142/S1793042116500330zbMath1408.11011arXiv1412.0523OpenAlexW2963223225WikidataQ114072023 ScholiaQ114072023MaRDI QIDQ2789382

Guo-Shuai Mao, Zhi-Wei Sun

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0523

zbMATH Keywords

congruencesBernoulli polynomialsharmonic numberscentral binomial coefficients

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

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Cites Work

• Unnamed Item
• ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
• Arithmetic theory of harmonic numbers