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Fungrim entry: 3a56d8

η ⁣(4i)=η(i)213/16(1+2)1/4\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
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("3a56d8"),
    Formula(Equal(DedekindEta(Mul(4, ConstI)), Div(DedekindEta(ConstI), Mul(Pow(2, Div(13, 16)), Pow(Add(1, Sqrt(2)), Div(1, 4)))))))

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2021-03-15 19:12:00.328586 UTC