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Fungrim entry: 9ce413

η ⁣(3i)=η(i)33/8(2+3)1/12\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
DedekindEtaη(τ)\eta(\tau) Dedekind eta function
ConstIii Imaginary unit
Powab{a}^{b} Power
Sqrtz\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)))))))

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2021-03-15 19:12:00.328586 UTC