From Fourier Series to Rapidly Convergent Series for Zeta(3).

Ernst E Scheufens

doi:10.4169/math.mag.84.1.026

From Fourier Series to Rapidly Convergent Series for Zeta(3).

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The article presents a mathematical study which investigates the exact values of the Riemann zeta (ζ) function. It states that exact values can be determined from Fourier series for periodic versions of even power functions. It notes that using power series for logarithmic functions on this such series, a rapidly convergent series for ζ (3) is obtained.

Original language	English
Journal	Mathematics Magazine
Volume	84
Issue number	1
Pages (from-to)	26-32
ISSN	0025-570X
DOIs	https://doi.org/10.4169/math.mag.84.1.026
Publication status	Published - 2011

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abstract = "The article presents a mathematical study which investigates the exact values of the Riemann zeta (ζ) function. It states that exact values can be determined from Fourier series for periodic versions of even power functions. It notes that using power series for logarithmic functions on this such series, a rapidly convergent series for ζ (3) is obtained.",

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From Fourier Series to Rapidly Convergent Series for Zeta(3).

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