The Sum of Like Powers of the Zeros of the Riemann Zeta Function

DOI10.2307/2007930zbMath0644.10029OpenAlexW4236649592MaRDI QIDQ3786537

D. H. Lehmer

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2007930

zbMATH Keywords

tablesevaluationRiemann zeta-functionEuler- Maclaurin summation formulaMaclaurin expansion

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (8)

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients ⋮ Zeta functions for the Riemann zeros. ⋮ Sharpenings of Li's criterion for the Riemann hypothesis ⋮ Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function ⋮ Generation of off-critical zeros for hypercubic Epstein zeta functions ⋮ Toward verification of the Riemann hypothesis: application of the Li criterion ⋮ Three notes on Ser's and Hasse's representations for the zeta-functions ⋮ Shifted Euler constants and a generalization of Euler-Stieltjes constants

Cites Work

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• Formulas for Higher Derivatives of the Riemann Zeta Function
• Chapter 8 of Ramanujan's second notebook.
• The Power Series Coefficients of ξ(s)

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