On the power series coefficients of the Riemann zeta function

DOI10.3836/tjm/1270133547zbMath0683.10032OpenAlexW2070671678MaRDI QIDQ1824655

Yasushi Matsuoka

Publication date: 1989

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270133547

zbMATH Keywords

Riemann zeta functionLaurent expansiongeneralized Euler constantsgamma-functionexplicit asymptotic expansion

Mathematics Subject Classification ID

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

Related Items

Generalized Euler constants for arithmetical progressions, On the Laurent coefficients of a class of Dirichlet series, Computing Stieltjes constants using complex integration, Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only, Erratum to ``A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations, On the asymptotic behavior of the Laurent coefficients of a class of Dirichlet series, Addison-type series representation for the Stieltjes constants, An effective asymptotic formula for the Stieltjes constants, An asymptotic form for the Stieltjes constants 𝛾_{𝑘}(𝑎) and for a sum 𝑆ᵧ(𝑛) appearing under the Li criterion, Hypergeometric summation representations of the Stieltjes constants, Dirichlet series with periodic coefficients