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- W2953067679 abstract "We study the use of the Euler-Maclaurin formula to numerically evaluate the Hurwitz zeta function $zeta(s,a)$ for $s, a in mathbb{C}$, along with an arbitrary number of derivatives with respect to $s$, to arbitrary precision with rigorous error bounds. Techniques that lead to a fast implementation are discussed. We present new record computations of Stieltjes constants, Keiper-Li coefficients and the first nontrivial zero of the Riemann zeta function, obtained using an open source implementation of the algorithms described in this paper." @default.
- W2953067679 created "2019-06-27" @default.
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- W2953067679 date "2013-09-11" @default.
- W2953067679 modified "2023-09-27" @default.
- W2953067679 title "Rigorous high-precision computation of the Hurwitz zeta function and its derivatives" @default.
- W2953067679 hasPublicationYear "2013" @default.
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