Fast evaluation of the Hurwitz zeta function and Dirichlet \(L\)-series

DOI10.1134/S0032946012040047zbMath0928.11056OpenAlexW2029679342MaRDI QIDQ1290835

Ekatharine A. Karatsuba

Publication date: 19 January 2000

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946012040047

zbMATH Keywords

Hurwitz zeta functionDirichlet seriesevaluation complexity

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Hurwitz and Lerch zeta functions (11M35) Analytic computations (11Y35)

Related Items (8)

On computation of the Bessel function by summing up the series ⋮ On a method for constructing a family of approximations of zeta constants by rational fractions ⋮ On the computational complexity of compressed power series ⋮ Fast approximations of certain number-theoretic constants ⋮ An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions ⋮ On one method for fast approximation of zeta constants by rational fractions ⋮ Computing Hypergeometric Functions Rigorously ⋮ Unnamed Item

Cites Work

• On the computation of the Euler constant \({\gamma}\)
• Some New Algorithms for High-Precision Computation of Euler's Constant
• On the asymptotic representation of the Euler gamma function by Ramanujan
• Unnamed Item
• Unnamed Item

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