Computational strategies for the Riemann zeta function
نویسندگان
چکیده
We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae ranging from historical attempts to recently found convergent series to curious oddities old and new. We concentrate primarily on practical computational issues, such issues depending on the domain of the argument, the desired speed of computation, and the incidence of what we call “value recycling”. c © 2000 Elsevier Science B.V. All rights reserved. 1. Motivation for e cient evaluation schemes It was, of course, a profound discovery of Riemann that a function so superbly exploited by Euler, namely (s) = ∞
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