2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199857A review of some recent advances in zeta function techniques is given, in problems of pure mathematical nature but also as applied to the computation of quantum vacuum fluctuations in different field theories, and specially with a view to cosmological applications.17 pages, Talk given at the Conference ``Quantum Theory and Symmetries - 5'', Valladolid (Spain), July 22 - 28, 2007High Energy Physics - TheoryGeneral Relativity and Quantum CosmologyMathematical PhysicsQuantum Physicstext