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Fungrim entry: a1f1ec

γ=lims1[ζ ⁣(s)1s1]\gamma = \lim_{s \to 1} \left[\zeta\!\left(s\right) - \frac{1}{s - 1}\right]
TeX:
\gamma = \lim_{s \to 1} \left[\zeta\!\left(s\right) - \frac{1}{s - 1}\right]
Definitions:
Fungrim symbol Notation Short description
ConstGammaγ\gamma The constant gamma (0.577...)
ComplexLimitlimzaf ⁣(z)\lim_{z \to a} f\!\left(z\right) Limiting value, complex variable
RiemannZetaζ ⁣(s)\zeta\!\left(s\right) Riemann zeta function
Source code for this entry:
Entry(ID("a1f1ec"),
    Formula(Equal(ConstGamma, ComplexLimit(Brackets(Sub(RiemannZeta(s), Div(1, Sub(s, 1)))), s, 1))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-08-21 11:44:15.926409 UTC