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On a Kind of Generilized Multi-harmonic Sum by Wang, Jiaqi; Ma, Rong is a scholarly article available to read on EtoBox.

What is On a Kind of Generilized Multi-harmonic Sum about?

Let $p$ be an odd prime, Jianqiang Zhao has established a curious congruence $$ \sum_{i+j+k=p \atop i,j,k > 0} \frac{1}{ijk} \equiv -2B_{p-3}\pmod p , $$ where $B_{n}$ denotes the $n-$th Bernoulli numbers. In this paper, we will generalize this problem by using congruent theory and combinatorial methods, and we get some curious congruences.

Author

Wang, Jiaqi; Ma, Rong

Published

2024

Language

EN