no code implementations • 21 Jan 2021 • Megan McCoy, Kevin Thielen, Liuquan Wang, Jianqiang Zhao
In recent years, the congruence $$ \sum_{\substack{i+j+k=p\\ i, j, k>0}} \frac1{ijk} \equiv -2 B_{p-3} \pmod{p}, $$ first discovered by the last author have been generalized by either increasing the number of indices and considering the corresponding supercongruences, or by considering the alternating version of multiple harmonic sums.
Number Theory 11A07, 11B68