2 papers
math.NT2026
General formulas for a class of Euler sums
David H Bailey, Ross McPhedran, Bruno Salvy
Let denote the th harmonic number. We present an easy-to-implement algorithm for the computation of explicit closed-form evaluations, in ter…
math.NT2025
On deciding transcendence of power series
Alin Bostan, Bruno Salvy, Michael F. Singer
It is well known that algebraic power series are differentially finite (D-finite): they satisfy linear differential equations with polynomial coefficients. The converse problem, wh…