Analytic Continuation of Harmonic Sums

Details Analytic Continuation of Harmonic Sums Analytic Continuation of Harmonic Sums

2009-02-12

arxiv.org/abs/0902.2148v2

Phys.Lett.B674:41-48,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1016/j.physletb.2009.02.053

We present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all complex values of the argument. The method utilizes the relation between harmonic sums and (derivatives of) Hurwitz zeta functions, which allows a harmonic sum to be calculated as an expansion valid for large values of its argument. A program for implementing this method is also provided.

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