Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function

Abstract

The 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 Möbius 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… (More)
DOI: 10.1090/S0025-5718-2014-02864-0

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