Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Series with Binomial-Like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function

Version 1 : Received: 7 May 2022 / Approved: 10 May 2022 / Online: 10 May 2022 (03:01:23 CEST)

How to cite: Belovas, I.; Sabaliauskas, M.; Kuzma, L. Series with Binomial-Like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function. Preprints 2022, 2022050122 (doi: 10.20944/preprints202205.0122.v1). Belovas, I.; Sabaliauskas, M.; Kuzma, L. Series with Binomial-Like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function. Preprints 2022, 2022050122 (doi: 10.20944/preprints202205.0122.v1).

Abstract

The paper continues the study of efficient algorithms for the computation of zeta functions over the complex plane. We aim to apply the modifications of algorithms to the investigation of underlying fractal structures associated with the Riemann zeta function. We discuss the computational complexity and numerical aspects of the implemented algorithms based on series with binomial-like coefficients.

Keywords

Riemann zeta function; fractal structures; numerical algorithms

Subject

MATHEMATICS & COMPUTER SCIENCE, Computational Mathematics

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