Fungrim entry: 90b419

\left\{ \lambda(\tau) : \tau \in \mathbb{H} \right\} = \left\{ \lambda(\tau) : \tau \in \mathcal{F}_{\lambda} \right\} = \mathbb{C} \setminus \left\{0, 1\right\}

TeX:

\left\{ \lambda(\tau) : \tau \in \mathbb{H} \right\} = \left\{ \lambda(\tau) : \tau \in \mathcal{F}_{\lambda} \right\} = \mathbb{C} \setminus \left\{0, 1\right\}

Definitions:

Fungrim symbol	Notation	Short description
`ModularLambda`	$\lambda(\tau)$	Modular lambda function
`HH`	$\mathbb{H}$	Upper complex half-plane
`ModularLambdaFundamentalDomain`	$\mathcal{F}_{\lambda}$	Fundamental domain of the modular lambda function
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("90b419"),
    Formula(Equal(Set(ModularLambda(tau), ForElement(tau, HH)), Set(ModularLambda(tau), ForElement(tau, ModularLambdaFundamentalDomain)), SetMinus(CC, Set(0, 1)))))

Topics using this entry

Modular lambda function

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

2021-03-15 19:12:00.328586 UTC