: Mathématiques: Stieltjes constants

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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:
${\\displaystyle \\zeta (1+s)={\ rac {1}{s}}+\\sum _{n=0}^{\\infty }{\ rac {(-1)^{n}}{n!}}\\gamma _{n}s^{n}.}$
The constant ${\\displaystyle \\gamma _{0}=\\gamma =0.577\\dots }$ is known as the Euler–Mascheroni constant.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Stieltjes_constants)

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