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Fungrim entry: a07d28

L ⁣(0,χq(1,))={12,q=10,otherwiseL\!\left(0, \chi_{q}(1, \cdot)\right) = \begin{cases} -\frac{1}{2}, & q = 1\\0, & \text{otherwise}\\ \end{cases}
Assumptions:qZ1q \in \mathbb{Z}_{\ge 1}
L\!\left(0, \chi_{q}(1, \cdot)\right) = \begin{cases} -\frac{1}{2}, & q = 1\\0, & \text{otherwise}\\ \end{cases}

q \in \mathbb{Z}_{\ge 1}
Fungrim symbol Notation Short description
DirichletLL ⁣(s,χ)L\!\left(s, \chi\right) Dirichlet L-function
DirichletCharacterχq(,)\chi_{q}(\ell, \cdot) Dirichlet character
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
    Formula(Equal(DirichletL(0, DirichletCharacter(q, 1)), Cases(Tuple(Neg(Div(1, 2)), Equal(q, 1)), Tuple(0, Otherwise)))),
    Assumptions(And(Element(q, ZZGreaterEqual(1)))))

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

2019-08-19 14:38:23.809000 UTC