A Family of Supercongruences Involving Multiple Harmonic Sums

Megan McCoy, Kevin Thielen, Liuquan Wang +1

In recent years, the congruence $$\sum _{\begin{array}{c}i+j+k=p\\ i,j,k>0\end{array}}\frac{1}{ijk}\equiv -2B_{p-3}(\mathrm{mod}p),$$ first discovered by the last author have been generalized by eithe…