2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141990In the first part we establish a connection between the Euler-Maclaurin summation formula and the Rota-Baxter functional equation. In the second part we give a simple proof of a formula, due to Ramanujan, on the summation of certain exponential series.27 pagesClassical Analysis and ODEs65B15Nombres de Bernoulli et une formule de Ramanujantext