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Stieltjes constants

In mathematics, the Stieltjes constants are the numbers $γ k$ that occur in the Laurent series expansion of the Riemann zeta function:

$\zeta(s)=\frac{1}{s-1}+\sum_{n=0}^\infty \frac{(-1)^n}{n!} \gamma_n \; (s-1)^n$

The zero'th constant $γ 0 = γ = 0.577...$ is known as the Euler-Mascheroni constant.

Last updated: 01-04-2007 01:18:57

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Stieltjes constants - Your Art History Reference Guide!