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Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function

Vilnius University open series(2022)

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Abstract
In this paper, we continue the study of efficient algorithms for the computation of the Riemann zeta function on the complex plane. We introduce two precalculated arrays-based modifications of MB-method. We perform numerical experiments with these algorithms using Zetafast as a benchmark and apply the algorithms for the visualizations of fractal structures associated with the Riemann zeta function.
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Key words
Riemann zeta function,numerical algorithms,fractal structures
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