Stieltjes constants

In mathematics, the Stieltjes constants are the numbers ${\displaystyle \gamma _{k}}$ that occur in the Laurent series expansion of the Riemann zeta function:

${\displaystyle \zeta (1+s)={\frac {1}{s}}+\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{n!}}\gamma _{n}s^{n}.}$

The constant ${\displaystyle \gamma _{0}=\gamma =0.577\dots }$ is known as the Euler–Mascheroni constant.