Fungrim entry: 9ce413

\eta\!\left(3 i\right) = \frac{\eta(i)}{{3}^{3 / 8} {\left(2 + \sqrt{3}\right)}^{1 / 12}}

TeX:

\eta\!\left(3 i\right) = \frac{\eta(i)}{{3}^{3 / 8} {\left(2 + \sqrt{3}\right)}^{1 / 12}}

Definitions:

Fungrim symbol	Notation	Short description
`DedekindEta`	$\eta(\tau)$	Dedekind eta function
`ConstI`	$i$	Imaginary unit
`Pow`	${a}^{b}$	Power
`Sqrt`	$\sqrt{z}$	Principal square root

Source code for this entry:

Entry(ID("9ce413"),
    Formula(Equal(DedekindEta(Mul(3, ConstI)), Div(DedekindEta(ConstI), Mul(Pow(3, Div(3, 8)), Pow(Add(2, Sqrt(3)), Div(1, 12)))))))

Topics using this entry

Dedekind eta 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