Table of Dirichlet Characters
Table of Dirichlet Characters
Produce tables of Dirichlet characters. A Dirichlet character modulo is a multiplicative function that satisfies:
χ
m
1. is periodic with period .
χ(n)
m
2. is zero when is not coprime to .
χ(n)
n
m
3. is an root of unity when is relatively prime to .
χ(n)
th
m
n
m
4. There are Dirichlet characters for a given .
ϕ(m)
m