An asymptotic representation for \(\zeta(\frac{1}{2}+it)\)

DOI10.4310/MAA.1997.v4.n4.a6zbMath0913.11033OpenAlexW2737530756MaRDI QIDQ1383451

D. Massart

Publication date: 20 May 1999

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1997.v4.n4.a6

zbMATH Keywords

error functionRiemann zeta functionasymptotic representationincomplete gamma functionsRiemann-Siegel formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to ordinary differential equations (34E05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (5)

Uniform asymptotic approximations for incomplete Riemann zeta functions ⋮ The asymptotic expansion of a generalised incomplete gamma function. ⋮ The asymptotics of a new exponential sum ⋮ Explicit approximate functional equations for various classes of Dirichlet series ⋮ A uniform asymptotic expansion for the incomplete gamma function

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