Fungrim entry: 856317

\zeta\!\left(2, 3\right) = \frac{9}{2} \zeta\!\left(5\right) - 2 \zeta\!\left(2\right) \zeta\!\left(3\right)

TeX:

\zeta\!\left(2, 3\right) = \frac{9}{2} \zeta\!\left(5\right) - 2 \zeta\!\left(2\right) \zeta\!\left(3\right)

Definitions:

Fungrim symbol	Notation	Short description
`MultiZetaValue`	$\zeta\!\left({s}_{1}, \ldots, {s}_{k}\right)$	Multiple zeta value (MZV)
`RiemannZeta`	$\zeta\!\left(s\right)$	Riemann zeta function

Source code for this entry:

Entry(ID("856317"),
    Formula(Equal(MultiZetaValue(2, 3), Sub(Mul(Div(9, 2), RiemannZeta(5)), Mul(Mul(2, RiemannZeta(2)), RiemannZeta(3))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC