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

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 t...

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Bibliographic Details
Published inVilnius University open series (Online) pp. 44 - 53
Main Authors Kuzma, Lukas, Belovas, Igoris, Sabaliauskas, Martynas
Format Journal Article
LanguageEnglish
Published Vilniaus universiteto leidykla / Vilnius University Press 13.05.2022
Vilnius University Press
Subjects
fractal structures
numerical algorithms
Riemann zeta function
Riemann zeta function
fractal structures
numerical algorithms
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ISSN2669-0535
2669-0535
DOI10.15388/LMITT.2022.5

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Summary: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.
ISSN:2669-0535
2669-0535
DOI:10.15388/LMITT.2022.5