Super congruence on harmonic sums

DOI10.1142/S1793042117501433zbMath1428.11015OpenAlexW2617390434MaRDI QIDQ4595085

Peng Yang, Tian Xin Cai

Publication date: 28 November 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117501433

zbMATH Keywords

Bernoulli numbersharmonic sumsfinite multiple zeta valuessuper congruences

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• A curious congruence modulo prime powers
• Bernoulli numbers, Wolstenholme's theorem, and \(p^5\) variations of Lucas' theorem
• Partial sums of multiple zeta value series
• 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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