2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53197The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new method, recently devised by the author, for obtaining accelerated analytical expressions for these series. The fundamental properties of the new series are studied and an application to a physical example is considered. The relevance of the method to other physical problems is also discussed.8 pages, 2 figures, proceedings of the 8-th International Conference "Path Integrals. From Quantum Information to Cosmology"High Energy Physics - Theorytext