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Fungrim entry: 9ea739

G_{2}\!\left({e}^{2 \pi i / 3}\right) = \frac{2 \pi}{\sqrt{3}}

TeX:

G_{2}\!\left({e}^{2 \pi i / 3}\right) = \frac{2 \pi}{\sqrt{3}}

Definitions:

Fungrim symbol	Notation	Short description
`EisensteinG`	$G_{k}\!\left(\tau\right)$	Eisenstein series
`Exp`	${e}^{z}$	Exponential function
`Pi`	$\pi$	The constant pi (3.14...)
`ConstI`	$i$	Imaginary unit
`Sqrt`	$\sqrt{z}$	Principal square root

Source code for this entry:

Entry(ID("9ea739"),
    Formula(Equal(EisensteinG(2, Exp(Div(Mul(Mul(2, Pi), ConstI), 3))), Div(Mul(2, Pi), Sqrt(3)))))

Topics using this entry

Eisenstein series

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