On some congruences involving harmonic numbers and Bernoulli polynomials
Abstract
In this paper, we mainly prove some congruences involving harmonic numbers and Bernoulli polynomials modulo prime p>3 via hypergeometric transformations. To prove these congruences, we first demonstrate some congruences modulo p2. These congruences have already been used in another article.
Fields of Study & Subjects
Advanced Mathematical Identities
Analytic Number Theory Research
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Integral Transforms and Special Functions
- Pages
- 1–13
- Publication date
- 26 February 2026
- Language
- EN