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
Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)