Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
group homomorphism |
| gptkbp:codomain |
complex numbers
|
| gptkbp:definedIn |
integers modulo n
|
| gptkbp:domain |
integers
|
| gptkbp:hasSpecialCase |
principal character
primitive character |
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet character χ
|
| gptkbp:mapType |
unit circle in complex plane (for primitive characters)
|
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:notation |
χ
|
| gptkbp:period |
modulus n
|
| gptkbp:property |
periodic
χ(1) = 1 χ(mn) = χ(m)χ(n) completely multiplicative χ(a) = 0 if gcd(a, n) ≠ 1 |
| gptkbp:usedIn |
gptkb:lion
analytic number theory proof of Dirichlet's theorem on arithmetic progressions |
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|