Estimating the Apéry's constant
type: Item
instance of: scholarly article
zbMATH Open document ID: 1268.11166
author: Cristinel Mortici
publication date: 2012-10-01T00:00:00Z
Mathematics Subject Classification ID: 11Y60
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 6088919
zbMATH Keywords: Apéry's constant
zbMATH Keywords: rate of convergence
zbMATH Keywords: inequalities
MaRDI profile type: Publication
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title: Estimating the Apéry's constant
published in: Journal of Computational Analysis and Applications
review text: Apéry's constant is \(\zeta(3)=\sum k^{-3}\). The author uses a new series representation \(\zeta(3)=1+\sum (k^3+4k^7)^{-1}\) whose partial sums converge much more rapidly to \(\zeta(3)\) than those of \(\sum k^{-3}\).
reviewed by: Tom M. Apostol
description: scientific article; zbMATH DE number 6088919