New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso

In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $(\{1{\}}^a,c,\{1{\}}^b),$ $(\{2{\}}^a,c,\{2{\}}^b)$ and prov…