Ross C. McPhedran

collaborators

2 papers

math.NT2026

New Results for Euler Sums

Ross C. McPhedran, David H. Bailey

We present a large number of analytic evaluations of Euler sums, namely sums such as \begin{align} M(m,n_0,n_1,n_2, \ldots, n_t) &= \sum_{k=1}^\infty \frac{H(k)^m}{k^{n_0} (k+1)^{n…

math.NT2026

General formulas for a class of Euler sums

David H Bailey, Ross McPhedran, Bruno Salvy

Let $H_{k} = 1 + 1/2 + 1/3 + \dots + 1/ k$ denote the $k$ th harmonic number. We present an easy-to-implement algorithm for the computation of explicit closed-form evaluations, in ter…