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Fungrim entry: fc4f6a

χ4 . 3 ⁣(n)={1,n≡1(mod4)−1,n≡3(mod4)0,otherwise\chi_{4 \, . \, 3}\!\left(n\right) = \begin{cases} 1, & n \equiv 1 \pmod {4}\\-1, & n \equiv 3 \pmod {4}\\0, & \text{otherwise}\\ \end{cases}
Assumptions:n∈Zn \in \mathbb{Z}
TeX:
\chi_{4 \, . \, 3}\!\left(n\right) = \begin{cases} 1, & n \equiv 1 \pmod {4}\\-1, & n \equiv 3 \pmod {4}\\0, & \text{otherwise}\\ \end{cases}

n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
DirichletCharacterχq . ℓ\chi_{q \, . \, \ell} Dirichlet character
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("fc4f6a"),
    Formula(Equal(DirichletCharacter(4, 3, n), Cases(Tuple(1, CongruentMod(n, 1, 4)), Tuple(-1, CongruentMod(n, 3, 4)), Tuple(0, Otherwise)))),
    Variables(n),
    Assumptions(Element(n, ZZ)))

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2021-03-15 19:12:00.328586 UTC