Alternatives to the Euler-Maclaurin formula for calculating infinite sums

DOI10.1134/S0001434610090245zbMath1237.40001OpenAlexW2024683257MaRDI QIDQ650311

Yu. V. Matiyasevich

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610090245

zbMATH Keywords

Riemann zeta functionquadrature formulaBernoulli numberEuler-Maclaurin formulaStieltjes constantSimpson's formula

Mathematics Subject Classification ID

Approximation to limiting values (summation of series, etc.) (40A25) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (2)

Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications ⋮ A synthesis of statistical and deterministic methods in problem of smoothing for time series

Cites Work

• Gaussian quadrature for sums: A rapidly convergent summation scheme

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