scientific article; zbMATH DE number 7201804

zbMath1443.11166MaRDI QIDQ5110374

Filip Saidak, Sebastian Pauli, Ricky E. Farr

Publication date: 19 May 2020

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Riemann zeta functionfractional derivativesand zero-free regions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (4)

Evaluating Fractional Derivatives of the Riemann Zeta Function ⋮ A bound for Stieltjes constants ⋮ Approximating and bounding fractional Stieltjes constants ⋮ Zero-free regions of the fractional derivatives of the Riemann zeta function

Cites Work

• Functional equations for the Stieltjes constants
• Series representations for the Stieltjes constants
• Zeros of high derivatives of the Riemann zeta function
• Fractional calculus for scientists and engineers.
• On fractional Stieltjes constants
• Note on Poisson's treatment of the Euler-Maclaurin formula
• An asymptotic form for the Stieltjes constants 𝛾_{𝑘}(𝑎) and for a sum 𝑆ᵧ(𝑛) appearing under the Li criterion
• Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants
• On the Hurwitz zeta-function
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