BERNOULLI NUMBERS AND CONGRUENCES FOR HARMONIC SUMS

DOI10.1142/S1793042110003265zbMath1213.11008MaRDI QIDQ3578426

Binzhou Xia, Tian Xin Cai

Publication date: 20 July 2010

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

zbMATH Keywords

Bernoulli numbersKummer's congruencecongruences for harmonic sumsmodulo prime power.

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07) Sequences (mod (m)) (11B50) Primes (11A41)

Related Items (7)

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 ⋮ A curious congruence modulo prime powers ⋮ Super congruence on harmonic sums ⋮ A new curious congruence involving multiple harmonic sums ⋮ A congruence involving harmonic sums modulo pαqβ

Cites Work

• Bernoulli numbers, Wolstenholme's theorem, and \(p^5\) variations of Lucas' theorem
• On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
• A generalization of a curious congruence on harmonic sums

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