Zero-free regions of the fractional derivatives of the Riemann zeta function

DOI10.1007/s10986-022-09551-2zbMath1489.11122OpenAlexW4210667502WikidataQ114224951 ScholiaQ114224951MaRDI QIDQ2113619

Filip Saidak, Sebastian Pauli

Publication date: 14 March 2022

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-022-09551-2

zbMATH Keywords

Riemann zeta functionfractional derivatives

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Fractional derivatives and integrals (26A33)

Cites Work

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• On the zeros of \(\zeta(s)-c\)
• Zeros of high derivatives of the Riemann zeta function
• On fractional Stieltjes constants
• Zero-free regions of derivatives of Riemann zeta function
• Approximating and bounding fractional Stieltjes constants
• Riemann zeta fractional derivative-functional equation and link with primes
• Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants
• Inequalities for the incomplete gamma function
• The Lerch zeta function as a fractional derivative
• Zero-Free Regions of ζ(^k )(s)
• On the Hurwitz zeta-function

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