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Fungrim entry: d2900f

η ⁣(5i)=η ⁣(i)5φ\eta\!\left(5 i\right) = \frac{\eta\!\left(i\right)}{\sqrt{5 \varphi}}
References:
  • https://math.stackexchange.com/questions/1334684/what-is-the-exact-value-of-eta6i/1334940
TeX:
\eta\!\left(5 i\right) = \frac{\eta\!\left(i\right)}{\sqrt{5 \varphi}}
Definitions:
Fungrim symbol Notation Short description
DedekindEtaη ⁣(τ)\eta\!\left(\tau\right) Dedekind eta function
ConstIii Imaginary unit
Sqrtz\sqrt{z} Principal square root
GoldenRatioφ\varphi The golden ratio (1.618...)
Source code for this entry:
Entry(ID("d2900f"),
    Formula(Equal(DedekindEta(Mul(5, ConstI)), Div(DedekindEta(ConstI), Sqrt(Mul(5, GoldenRatio))))),
    References("https://math.stackexchange.com/questions/1334684/what-is-the-exact-value-of-eta6i/1334940"))

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

2019-08-19 14:38:23.809000 UTC