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000064340 005__ 20180410133143.0
000064340 0247_ $$2doi$$a10.1090/S0025-5718-2014-02864-0
000064340 0248_ $$2sideral$$a102745
000064340 037__ $$aART-2015-102745
000064340 041__ $$aeng
000064340 100__ $$aNavas, Luis M.
000064340 245__ $$aSome functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
000064340 260__ $$c2015
000064340 5060_ $$aAccess copy available to the general public$$fUnrestricted
000064340 5203_ $$aThe 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.
000064340 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2012-36732-C03-02
000064340 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000064340 590__ $$a1.464$$b2015
000064340 591__ $$aMATHEMATICS, APPLIED$$b39 / 254 = 0.154$$c2015$$dQ1$$eT1
000064340 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000064340 700__ $$0(orcid)0000-0001-5364-4799$$aRuiz Blasco, Francisco J.$$uUniversidad de Zaragoza
000064340 700__ $$aVarona, Juan L.
000064340 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDepartamento de Matemáticas$$cAnálisis Matemático
000064340 773__ $$g84, 292 (2015), 803-813$$pMath. comput.$$tMATHEMATICS OF COMPUTATION$$x0025-5718
000064340 8564_ $$s331730$$uhttp://zaguan.unizar.es/record/64340/files/texto_completo.pdf$$yPostprint
000064340 8564_ $$s69600$$uhttp://zaguan.unizar.es/record/64340/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000064340 909CO $$ooai:zaguan.unizar.es:64340$$particulos$$pdriver
000064340 951__ $$a2018-04-10-13:26:47
000064340 980__ $$aARTICLE