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Fungrim entry: c9d117

L\!\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
`DirichletL`	$L\!\left(s, \chi\right)$	Dirichlet L-function
`DirichletCharacter`	$\chi_{q \, . \, \ell}$	Dirichlet character
`Log`	$\log(z)$	Natural logarithm
`GoldenRatio`	$\varphi$	The golden ratio (1.618...)
`Sqrt`	$\sqrt{z}$	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)))))

Topics using this entry

Dirichlet L-functions

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