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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