2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209829We find a representation for the Maclaurin coefficients of the Hurwitz zeta-function in terms of semi-convergent series involving the Bernoulli polynomials and the Stirling numbers of the first kind. In particular, this gives a representation for the coefficients of the Riemann zeta function. Our main instrument is a certain series transformation formula. A similar result is proved also for the Maclaurin coefficients of the Lerch zeta function.9 pages. To appear in the JP Journal of Algebra, Number Theory and ApplicationsNumber TheoryClassical Analysis and ODEs11M35, 33A70text