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 in | Vilnius University open series (Online) pp. 44 - 53 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Vilniaus universiteto leidykla / Vilnius University Press
13.05.2022
Vilnius University Press |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2669-0535 2669-0535 |
| DOI | 10.15388/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. |
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| 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 |
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| Title | Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function |
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