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Fungrim entry: ef2c71

ζ ⁣(4,2)=(ζ ⁣(3))2−43ζ ⁣(6)\zeta\!\left(4, 2\right) = {\left(\zeta\!\left(3\right)\right)}^{2} - \frac{4}{3} \zeta\!\left(6\right)
TeX:
\zeta\!\left(4, 2\right) = {\left(\zeta\!\left(3\right)\right)}^{2} - \frac{4}{3} \zeta\!\left(6\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("ef2c71"),
    Formula(Equal(MultiZetaValue(4, 2), Sub(Pow(RiemannZeta(3), 2), Mul(Div(4, 3), RiemannZeta(6))))))

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2021-03-15 19:12:00.328586 UTC