Walid Kehila

most citedOn some congruences using multiple harmonic sums of length three and four

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math.NT2020★ 1 cited

On some congruences using multiple harmonic sums of length three and four

Walid Kehila

In the present paper, we determine the sums $\sum_{j = 1}^{p - 1} \frac{H _{j}^{(s_{1})} H _{j}^{(s_{3})}}{j ^{s_{2}}}$ and $\sum_{j = 1}^{p - 1} \frac{H _{j}^{(s_{1})} H _{j}^{(s_{3})} H _{j}^{(s_{4})}}{j ^{s_{2}}}$ modulo…