A simple proof of a curious congruence by Zhao

Ji, Chun-Gang

doi:10.1090/S0002-9939-05-07939-6

A simple proof of a curious congruence by Zhao
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Proc. Amer. Math. Soc. 133 (2005), 3469-3472 Request permission

Abstract:

The author gives a simple proof of the following curious congruence for odd prime $p>3$ which was established by Jianqiang Zhao: \begin{equation*}\sum _{\substack {{i+j+k=p} {i,\ j,\ k>0}}}\frac {1}{ijk}\equiv -2B_{p-3}(\text {mod}\ p).\end{equation*}

References

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