A curious congruence modulo prime powers

DOI10.1016/j.jnt.2014.04.004zbMath1351.11004OpenAlexW2002812164MaRDI QIDQ404320

Liuquan Wang, Tian Xin Cai

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.004

zbMATH Keywords

congruencesBernoulli numbersmodulo prime powers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Related Items (6)

A family of super congruences involving multiple harmonic sums ⋮ Congruences involving alternating harmonic sums modulo p ^α q ^β ⋮ On a congruence involving harmonic series and Bernoulli numbers ⋮ Super congruence on harmonic sums ⋮ A new curious congruence involving multiple harmonic sums ⋮ A congruence involving harmonic sums modulo pαqβ

Cites Work

• Unnamed Item
• Bernoulli numbers, Wolstenholme's theorem, and \(p^5\) variations of Lucas' theorem
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• A generalization of a curious congruence on harmonic sums
• BERNOULLI NUMBERS AND CONGRUENCES FOR HARMONIC SUMS
• A simple proof of a curious congruence by Zhao

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