Fungrim entry: 53fcdd

E_{4}\!\left(i\right) = \frac{3 {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{8}}{64 {\pi}^{6}}

TeX:

E_{4}\!\left(i\right) = \frac{3 {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{8}}{64 {\pi}^{6}}

Definitions:

Fungrim symbol	Notation	Short description
`EisensteinE`	$E_{k}\!\left(\tau\right)$	Normalized Eisenstein series
`ConstI`	$i$	Imaginary unit
`Pow`	${a}^{b}$	Power
`Gamma`	$\Gamma(z)$	Gamma function
`Pi`	$\pi$	The constant pi (3.14...)

Source code for this entry:

Entry(ID("53fcdd"),
    Formula(Equal(EisensteinE(4, ConstI), Div(Mul(3, Pow(Gamma(Div(1, 4)), 8)), Mul(64, Pow(Pi, 6))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC