New rapidly converging series representations for values of the Riemann zeta function and the Dirichlet beta function

Details New rapidly converging series representations for values of the Riemann zeta function and the Dirichlet beta function New rapidly converging series representations for values of the Riemann zeta function and the Dirichlet beta function

2010-03-24

arxiv.org/abs/1003.4592v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we derive rapidly converging series for Catalan's constant and
for Ap\'ery's constant. The method may be easily generalised to produce new
series representations for other values of the Riemann zeta function and the
Dirichlet beta function.

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