Kummer Reciprocity
Suppose that ζ is an lth root of unity for some odd regular prime l. Since l is regular, we can extend the symbol {} to ideals in a unique way such that
- where n is some integer prime to l such that pn is principal.
The Kummer reciprocity law states that
for p and q any distinct prime ideals of Z other than (1–ζ).
Read more about this topic: Reciprocity Law
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