Modulo $p^2$ congruences involving harmonic numbers

DOI10.4064/ap180401-12-9zbMath1441.11044arXiv1803.02966OpenAlexW2963719135MaRDI QIDQ4614221

Jizhen Yang, Yun-Peng Wang

Publication date: 30 January 2019

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02966

zbMATH Keywords

congruencesBernoulli numbersharmonic numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

Modulo \(p^2\) congruences involving generalized harmonic numbers ⋮ On the congruence of finite sums involving generalized harmonic numbers modulo $p^2$

Cites Work

• Unnamed Item
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• Bernoulli number identities from quantum field theory and topological string theory
• A new series for π³and related congruences
• Arithmetic theory of harmonic numbers
• QUASI-SYMMETRIC FUNCTIONS AND MOD <b><i>p </i></b>MULTIPLE HARMONIC SUMS
• A Generalization of Wolstenholme's Theorem
• Variations on Wolstenholme's Theorem
• Arithmetic theory of harmonic numbers (II)

This page was built for publication: Modulo $p^2$ congruences involving harmonic numbers