Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions

Authors:
Djurdje Cvijović
Affiliations:
Atomic Physics Laboratory, Vinča Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner. In this way, among others, we recovered the Wang and Williams-Zhang generalizations of the classical Eisenstein summation formula and obtained their previously unknown companion formulae.