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Fast computation of the Riemann zeta function for integer argument. (English)
Dokl. Math. 54, No.1, 626 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No.4, 463 (1996).
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 [{\it 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 $ζ(k)$ and the possibility to quickly evaluate some special improper integrals using FEE.