doi:10.1090/S0025-5718-2014-02864-0engNavas, Luis M.Ruiz Blasco, Francisco J.Varona, Juan L.Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent functionART-2015-102745The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hurwitz’s formula for the eponymous zeta function. A generalized form of M ¨obius inversion applies to the Lindelöf-Wirtinger expansion and also implies an inversion formula for the Hurwitz zeta function as a limiting case. The inverted formulas involve the dynamical system of rotations of the circle and yield an arithmetical functional equation.2015http://zaguan.unizar.es/record/6434010.1090/S0025-5718-2014-02864-0http://zaguan.unizar.es/record/64340oai:zaguan.unizar.es:64340info:eu-repo/grantAgreement/ES/MICINN/MTM2012-36732-C03-02MATHEMATICS OF COMPUTATION 84, 292 (2015), 803-813All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess