Let be a Prime Ideal in not containing . Then

where the sum is over all which are Relatively Prime to . Here is the Ring of integers in , , and other quantities are defined by Ireland and Rosen (1990).

**References**

Ireland, K. and Rosen, M. ``The Stickelberger Relation and the Eisenstein Reciprocity Law.''
Ch. 14 in *A Classical Introduction to Modern Number
Theory, 2nd ed.* New York: Springer-Verlag, pp. 203-227, 1990.

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1999-05-26