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Fungrim entry: 3102a7

G4 ⁣(e2πi/3)=E4 ⁣(e2πi/3)=0G_{4}\!\left({e}^{2 \pi i / 3}\right) = E_{4}\!\left({e}^{2 \pi i / 3}\right) = 0
TeX:
G_{4}\!\left({e}^{2 \pi i / 3}\right) = E_{4}\!\left({e}^{2 \pi i / 3}\right) = 0
Definitions:
Fungrim symbol Notation Short description
EisensteinGGk ⁣(τ)G_{k}\!\left(\tau\right) Eisenstein series
Expez{e}^{z} Exponential function
ConstPiπ\pi The constant pi (3.14...)
ConstIii Imaginary unit
EisensteinEEk ⁣(τ)E_{k}\!\left(\tau\right) Normalized Eisenstein series
Source code for this entry:
Entry(ID("3102a7"),
    Formula(Equal(EisensteinG(4, Exp(Div(Mul(Mul(2, ConstPi), ConstI), 3))), EisensteinE(4, Exp(Div(Mul(Mul(2, ConstPi), ConstI), 3))), 0)))

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2019-09-19 20:12:49.583742 UTC