Power Series Expansions of Riemann's ζ Function
From MaRDI portal
Publication:4024689
DOI10.2307/2153215zbMath0767.11039OpenAlexW4250168870MaRDI QIDQ4024689
Publication date: 10 February 1993
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2153215
Stieltjes constantsRiemann hypothesislogarithmic derivativeRiemann \(\xi\) functioncoefficients of power series expansionshigh-precision valuesrelated functions
Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Software, source code, etc. for problems pertaining to number theory (11-04) Evaluation of number-theoretic constants (11Y60)
Related Items (19)
New results on the Stieltjes constants: asymptotic and exact evaluation ⋮ The theta-Laguerre calculus formulation of the Li/Keiper constants ⋮ Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants ⋮ Polygamma theory, the Li/Keiper constants and the Li criterion for the Riemann hypothesis ⋮ Aspects of the screw function corresponding to the Riemann zeta‐function ⋮ Sharpenings of Li's criterion for the Riemann hypothesis ⋮ Asymptotics of Keiper-Li coefficients ⋮ Computing Stieltjes constants using complex integration ⋮ Matrix model for Riemann zeta via its local factors ⋮ Li coefficients for automorphic \(L\)-functions ⋮ On the discretized Li coefficients for a certain class of \(L\)-functions ⋮ Generation of off-critical zeros for hypercubic Epstein zeta functions ⋮ Erratum to ``A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations ⋮ On the zeros of the Ramanujan $\tau $-Dirichlet series in the critical strip ⋮ An asymptotic form for the Stieltjes constants 𝛾_{𝑘}(𝑎) and for a sum 𝑆ᵧ(𝑛) appearing under the Li criterion ⋮ Summation properties of the \(\eta _j\) and Li constants ⋮ Euler’s constant: Euler’s work and modern developments ⋮ Discretized Keiper/Li Approach to the Riemann Hypothesis ⋮ Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
This page was built for publication: Power Series Expansions of Riemann's ζ Function
