Stieltjes Constants

In mathematics, the Stieltjes constants are the numbers \gamma_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 \gamma_0 = \gamma = 0.577... is known as the Euler-Mascheroni constant.

 

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