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Riemann zeta function: Rapidly converging series and integral representations. (English) Zbl 0746.11034
This paper follows an earlier work [P. L. Butzer, C. Markett and M. Schmidt, Result. Math. 19, 257-274 (1991; Zbl 0724.11036)] on Stirling numbers, central factorial numbers, and their relation to the values of the Riemann zeta function ζ(m) for integer m2, with special emphasis on the interaction between sum and integral identities. The principal results are new rapidly convergent series and integral representations for ζ(m) and for special Dirichlet L-functions with integer argument.
11M06ζ(s) and L(s,χ)
11M41Other Dirichlet series and zeta functions