Fungrim entry: 3a56d8

\eta\!\left(4 i\right) = \frac{\eta(i)}{{2}^{13 / 16} {\left(1 + \sqrt{2}\right)}^{1 / 4}}

TeX:

\eta\!\left(4 i\right) = \frac{\eta(i)}{{2}^{13 / 16} {\left(1 + \sqrt{2}\right)}^{1 / 4}}

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("3a56d8"),
    Formula(Equal(DedekindEta(Mul(4, ConstI)), Div(DedekindEta(ConstI), Mul(Pow(2, Div(13, 16)), Pow(Add(1, Sqrt(2)), Div(1, 4)))))))

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