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Fungrim entry: a9337b

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

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, \cdot) Dirichlet character
RiemannZetaζ ⁣(s)\zeta\!\left(s\right) 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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2019-08-17 11:32:46.829430 UTC