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Fungrim entry: 53fcdd

E4 ⁣(i)=3(Γ ⁣(14))864π6E_{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
EisensteinEEk ⁣(τ)E_{k}\!\left(\tau\right) Normalized Eisenstein series
ConstIii Imaginary unit
Powab{a}^{b} Power
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
ConstPiπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("53fcdd"),
    Formula(Equal(EisensteinE(4, ConstI), Div(Mul(3, Pow(GammaFunction(Div(1, 4)), 8)), Mul(64, Pow(ConstPi, 6))))))

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2019-09-20 18:07:53.062439 UTC