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Fungrim entry: c9d117

L ⁣(1,χ5.4)=2log(φ)5L\!\left(1, \chi_{5 \, . \, 4}\right) = \frac{2 \log(\varphi)}{\sqrt{5}}
TeX:
L\!\left(1, \chi_{5 \, . \, 4}\right) = \frac{2 \log(\varphi)}{\sqrt{5}}
Definitions:
Fungrim symbol Notation Short description
DirichletLL ⁣(s,χ)L\!\left(s, \chi\right) Dirichlet L-function
DirichletCharacterχq.\chi_{q \, . \, \ell} Dirichlet character
Loglog(z)\log(z) Natural logarithm
GoldenRatioφ\varphi The golden ratio (1.618...)
Sqrtz\sqrt{z} Principal square root
Source code for this entry:
Entry(ID("c9d117"),
    Formula(Equal(DirichletL(1, DirichletCharacter(5, 4)), Div(Mul(2, Log(GoldenRatio)), Sqrt(5)))))

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2020-01-31 18:09:28.494564 UTC