The Stokes phenomenon associated with the Hurwitz zeta function ζ(s,a)

R. B. Paris

Abstract

We examine the exponentially improved asymptotic expansion of the Hurwitz zeta function ζ(s,a) for large complex values of a, with s regarded as a parameter. It is shown that an infinite number of subdominant exponential terms switch on across the Stokes lines arg a = ± ½π.

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