The Jacobi Symbol as a Character can be extended to the Kronecker Symbol so that whenever . When is Relatively Prime to , then , and for Nonzero values Iff . In addition, is the minimum value for which the latter congruence property holds in any extension symbol for .

**References**

Cohn, H. *Advanced Number Theory.* New York: Dover, pp. 35-36, 1980.

© 1996-9

1999-05-25