J. Dobson

collaborators

2 papers

math.NT2023

On the special harmonic numbers $H_{⌊ p /9 ⌋}$ and $H_{⌊ p /18 ⌋}$ modulo $p$

John Blythe Dobson

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

math.NT2016

A matrix variation on Ramus's identity for lacunary sums of binomial coefficients

John Blythe Dobson

We study the well-known lacunary sums of binomial coefficients considered, most notably, by Christian Ramus, and their connection to a special kind of harmonic number associated wi…

On the special harmonic numbers H⌊p/9⌋​ and H⌊p/18⌋​ modulo p

A matrix variation on Ramus's identity for lacunary sums of binomial coefficients

On the special harmonic numbers $H_{⌊ p /9 ⌋}$ and $H_{⌊ p /18 ⌋}$ modulo $p$