Fast computation of the Riemann zeta function for integer argument
The author uses the method of fast evaluating \(E\)-functions (FEE) in order to evaluate the Riemann zeta functions at integers (see the corresponding article [\textit{E. A. Karatsuba}, Integral Transforms Spec. Funct. 1, No. 4, 269-276 (1993; Zbl 0827.65022)]. The speed of the computations is based on new formulas for \(\zeta(k)\) and the possibility to quickly evaluate some special improper integrals using FEE.
scientific article; zbMATH DE number 1148138