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Fungrim entry: 458198

χ ⁣(0)={1,q=10,q1\chi\!\left(0\right) = \begin{cases} 1, & q = 1\\0, & q \ne 1\\ \end{cases}
Assumptions:qZ1andχGqq \in \mathbb{Z}_{\ge 1} \,\mathbin{\operatorname{and}}\, \chi \in G_{q}
TeX:
\chi\!\left(0\right) = \begin{cases} 1, & q = 1\\0, & q \ne 1\\ \end{cases}

q \in \mathbb{Z}_{\ge 1} \,\mathbin{\operatorname{and}}\, \chi \in G_{q}
Definitions:
Fungrim symbol Notation Short description
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
DirichletGroupGqG_{q} Dirichlet characters with given modulus
Source code for this entry:
Entry(ID("458198"),
    Formula(Equal(chi(0), Cases(Tuple(1, Equal(q, 1)), Tuple(0, Unequal(q, 1))))),
    Variables(q, chi),
    Assumptions(And(Element(q, ZZGreaterEqual(1)), Element(chi, DirichletGroup(q)))))

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

2019-08-17 11:32:46.829430 UTC