On the special harmonic numbers $H_{\lfloor p/9\rfloor }$ and $H_{\lfloor p/18\rfloor }$ modulo $p$

John Blythe Dobson

Building on work of Zhi-Hong Sun, we establish congruences for the special harmonic numbers $H_{\lfloor }p/9\rfloor$ and $H_{\lfloor p/18\rfloor }$ modulo $p$, which contain respect…