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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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
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ISSN2669-0535
2669-0535
DOI10.15388/LMITT.2022.5

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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.
AbstractList 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.
Author Sabaliauskas, Martynas
Kuzma, Lukas
Belovas, Igoris
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Keywords Riemann zeta function
fractal structures
numerical algorithms
Language English
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SubjectTerms fractal structures
numerical algorithms
Riemann zeta function
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Title Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function
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