Uniform asymptotic approximations for incomplete Riemann zeta functions

DOI10.1016/j.cam.2004.11.051zbMath1091.33016OpenAlexW2159934074MaRDI QIDQ818264

T. M. Dunster

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.051

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Other functions defined by series and integrals (33E20)

Related Items (2)

Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method ⋮ Integral and series representations of Riemann's zeta function and Dirichlet's eta function and a medley of related results

Cites Work

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• An exponentially-smoothed Gram-type formula for the Riemann zeta function
• An asymptotic representation for \(\zeta(\frac{1}{2}+it)\)
• The special functions and their approximations. Vol. I, II
• Asymptotic expansions and converging factors I. General theory and basic converging factors
• A new asymptotic representation for ζ(½ + i t ) and quantum spectral determinants
• The Asymptotic Expansion of the Incomplete Gamma Functions
• The Riemann Zeros and Eigenvalue Asymptotics
• The Riemann-Siegel expansion for the zeta function: high orders and remainders
• Complex Zeros of an Incomplete Riemann Zeta Function and of the Incomplete Gamma Function
• Complex Zeros of Two Incomplete Riemann Zeta Functions

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