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Fungrim entry: 42a909

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

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
ModularJj ⁣(τ)j\!\left(\tau\right) Modular j-invariant
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("42a909"),
    Formula(Equal(ModularJ(Neg(Div(1, tau))), ModularJ(tau))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC