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Fungrim entry: e9f0c8

λ ⁣(τ1τ)=1λ(τ)\lambda\!\left(\frac{\tau}{1 - \tau}\right) = \frac{1}{\lambda(\tau)}
Assumptions:τH\tau \in \mathbb{H}
TeX:
\lambda\!\left(\frac{\tau}{1 - \tau}\right) = \frac{1}{\lambda(\tau)}

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
ModularLambdaλ(τ)\lambda(\tau) Modular lambda function
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("e9f0c8"),
    Formula(Equal(ModularLambda(Div(tau, Sub(1, tau))), Div(1, ModularLambda(tau)))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

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2021-03-15 19:12:00.328586 UTC