Riemann’s zeta function and finite Dirichlet series

DOI10.1090/SPMJ/1431zbMath1383.11107OpenAlexW2525612289MaRDI QIDQ2822787

Yu. V. Matiyasevich

Publication date: 5 October 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1431

zbMATH Keywords

Riemann's zeta functionfinite Dirichlet series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Computation of special functions and constants, construction of tables (65D20) Numerical computation of determinants (65F40) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Analytic computations (11Y35)

Related Items (5)

A few factors from the Euler product are sufficient for calculating the zeta function with high precision ⋮ Calculation of the values of the Riemann zeta function via values of its derivatives at a single point ⋮ Continuous crop circles drawn by Riemann's zeta function ⋮ On an evaluation method for zeta constants based on a number theoretic approach ⋮ Plausible ways for calculating the Riemann zeta function via the Riemann-Siegel theta function

Uses Software

• Arb

Cites Work

• A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic
• Approximation of Riemann’s Zeta Function by Finite Dirichlet Series: A Multiprecision Numerical Approach

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