Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function
Articles
Lukas Kuzma
Vilnius University, Lithuania
Igoris Belovas
Vilnius University, Lithuania
Martynas Sabaliauskas
Vilnius University, Lithuania
Published 2022-05-13
https://doi.org/10.15388/LMITT.2022.5
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Keywords

Riemann zeta function
numerical algorithms
fractal structures

How to Cite

Kuzma L., Belovas I. and Sabaliauskas M. (2022) “Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function”, Vilnius University Open Series, pp. 44-53. doi: 10.15388/LMITT.2022.5.

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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