An Application of Stieltjes Integration to the Power Series Coefficients of the Riemann Zeta Function

DOI10.2307/2312789zbMath0112.30202OpenAlexW2317853053MaRDI QIDQ5719546

Rolfe P. Ferguson

Publication date: 1963

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2312789

zbMATH Keywords

Stieltjes integrationpower series coefficients of the Riemann zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Power series (including lacunary series) in one complex variable (30B10)

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Applications of the Laurent-Stieltjes constants for Dirichlet \(L\)-series ⋮ The \(p\)-adic Hurwitz \(L\)-functions ⋮ Some identities related to Riemann zeta-function ⋮ On the Stieltjes constants and gamma functions with respect to alternating Hurwitz zeta functions ⋮ Chapter 7 of Ramanujan's second notebook ⋮ A note concerning the coefficients of the Laurent series of the Riemann zeta function ⋮ Abelian and Tauberian results on Dirichlet series