000078883 001__ 78883 000078883 005__ 20201105083204.0 000078883 0247_ $$2doi$$a10.1016/j.jnt.2016.08.013 000078883 0248_ $$2sideral$$a96642 000078883 037__ $$aART-2017-96642 000078883 041__ $$aeng 000078883 100__ $$aFerreira, E. M. 000078883 245__ $$aNew properties of the Lerch's transcendent 000078883 260__ $$c2017 000078883 5060_ $$aAccess copy available to the general public$$fUnrestricted 000078883 5203_ $$aA new representation of the Lerch''s transcendent F(z, s, a), valid for positive integer s=n=1, 2, … and for z and a belonging to certain regions of the complex plane, is presented. It allows to write an equation relating F(z, n, a) and F(1/z, n, 1-a), which in turn provides an expansion of F(z, n, a) as a power series of 1/z, convergent for |z|>1. 000078883 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2009-11154 000078883 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000078883 590__ $$a0.774$$b2017 000078883 591__ $$aMATHEMATICS$$b127 / 309 = 0.411$$c2017$$dQ2$$eT2 000078883 592__ $$a1.275$$b2017 000078883 593__ $$aAlgebra and Number Theory$$c2017$$dQ1 000078883 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000078883 700__ $$aKohara, A. K. 000078883 700__ $$0(orcid)0000-0002-3837-8303$$aSesma, J.$$uUniversidad de Zaragoza 000078883 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000078883 773__ $$g172 (2017), 21-31$$pJ. number theory$$tJOURNAL OF NUMBER THEORY$$x0022-314X 000078883 8564_ $$s220399$$uhttps://zaguan.unizar.es/record/78883/files/texto_completo.pdf$$yPostprint 000078883 8564_ $$s34242$$uhttps://zaguan.unizar.es/record/78883/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000078883 909CO $$ooai:zaguan.unizar.es:78883$$particulos$$pdriver 000078883 951__ $$a2020-11-05-08:17:55 000078883 980__ $$aARTICLE