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Fungrim entry: 3a5167

ζ ⁣(3,3)=12((ζ ⁣(3))2−ζ ⁣(6))\zeta\!\left(3, 3\right) = \frac{1}{2} \left({\left(\zeta\!\left(3\right)\right)}^{2} - \zeta\!\left(6\right)\right)
TeX:
\zeta\!\left(3, 3\right) = \frac{1}{2} \left({\left(\zeta\!\left(3\right)\right)}^{2} - \zeta\!\left(6\right)\right)
Definitions:
Fungrim symbol Notation Short description
MultiZetaValueζ ⁣(s1,…,sk)\zeta\!\left({s}_{1}, \ldots, {s}_{k}\right) Multiple zeta value (MZV)
Powab{a}^{b} Power
RiemannZetaζ ⁣(s)\zeta\!\left(s\right) Riemann zeta function
Source code for this entry:
Entry(ID("3a5167"),
    Formula(Equal(MultiZetaValue(3, 3), Mul(Div(1, 2), Sub(Pow(RiemannZeta(3), 2), RiemannZeta(6))))))

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2021-03-15 19:12:00.328586 UTC