Fungrim entry: 3102a7

G_{4}\!\left({e}^{2 \pi i / 3}\right) = E_{4}\!\left({e}^{2 \pi i / 3}\right) = 0

TeX:

G_{4}\!\left({e}^{2 \pi i / 3}\right) = E_{4}\!\left({e}^{2 \pi i / 3}\right) = 0

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
`EisensteinE`	$E_{k}\!\left(\tau\right)$	Normalized Eisenstein series

Source code for this entry:

Entry(ID("3102a7"),
    Formula(Equal(EisensteinG(4, Exp(Div(Mul(Mul(2, Pi), ConstI), 3))), EisensteinE(4, Exp(Div(Mul(Mul(2, Pi), ConstI), 3))), 0)))

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