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Fungrim entry: 044128

E8 ⁣(τ)=E42 ⁣(τ)E_{8}\!\left(\tau\right) = E_{4}^{2}\!\left(\tau\right)
Assumptions:τH\tau \in \mathbb{H}
TeX:
E_{8}\!\left(\tau\right) = E_{4}^{2}\!\left(\tau\right)

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
EisensteinEEk ⁣(τ)E_{k}\!\left(\tau\right) Normalized Eisenstein series
Powab{a}^{b} Power
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("044128"),
    Formula(Equal(EisensteinE(8, tau), Pow(EisensteinE(4, tau), 2))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

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2019-09-20 18:07:53.062439 UTC