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Questions tagged [stieltjes-constants]

The Stieltjes constants appear in the Laurent series for the Riemann zeta function. They are a generalization of the Euler-Mascheroni constant.

The Stieltjes constants appear in the Laurent series for the Riemann zeta function. They are a generalization of the Euler-Mascheroni constant.

See the Wikipedia page for the Stieltjes constants for more details.

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$\gamma_0$ in terms of $\gamma_{1-Inf}$

I’ve numerically observed that $\sum_{n=1}^{\infty}\gamma_n/n!$ = $1/2 - \gamma_0$ , where $\gamma$ are the Stieltjes constants. Is there a recurrence explanation for this or a known proof?
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