Examples
If p is an odd prime number, then the function
- where is the Legendre symbol, is a primitive Dirichlet character modulo p.
More generally, if m is a positive odd number, the function
- where is the Jacobi symbol, is a Dirichlet character modulo m.
These are quadratic characters: in general, the primitive quadratic characters arise precisely from the Kronecker symbol.
Read more about this topic: Dirichlet Character
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