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Fungrim entry: 033d39

1λ(τ)=116η8 ⁣(τ2)η8 ⁣(2τ)+1\frac{1}{\lambda(\tau)} = \frac{1}{16} \frac{\eta^{8}\!\left(\frac{\tau}{2}\right)}{\eta^{8}\!\left(2 \tau\right)} + 1
Assumptions:τH\tau \in \mathbb{H}
TeX:
\frac{1}{\lambda(\tau)} = \frac{1}{16} \frac{\eta^{8}\!\left(\frac{\tau}{2}\right)}{\eta^{8}\!\left(2 \tau\right)} + 1

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
ModularLambdaλ(τ)\lambda(\tau) Modular lambda function
Powab{a}^{b} Power
DedekindEtaη(τ)\eta(\tau) Dedekind eta function
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("033d39"),
    Formula(Equal(Div(1, ModularLambda(tau)), Add(Mul(Div(1, 16), Div(Pow(DedekindEta(Div(tau, 2)), 8), Pow(DedekindEta(Mul(2, tau)), 8))), 1))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

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2020-01-31 18:09:28.494564 UTC