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Fungrim entry: a9337b

L ⁣(s,χ1.1)=ζ(s)L\!\left(s, \chi_{1 \, . \, 1}\right) = \zeta(s)
Assumptions:sCs \in \mathbb{C}
TeX:
L\!\left(s, \chi_{1 \, . \, 1}\right) = \zeta(s)

s \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
DirichletLL ⁣(s,χ)L\!\left(s, \chi\right) Dirichlet L-function
DirichletCharacterχq.\chi_{q \, . \, \ell} Dirichlet character
RiemannZetaζ(s)\zeta(s) Riemann zeta function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("a9337b"),
    Formula(Equal(DirichletL(s, DirichletCharacter(1, 1)), RiemannZeta(s))),
    Variables(s),
    Assumptions(Element(s, CC)))

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

2019-10-05 13:11:19.856591 UTC