Scholz's reciprocity law

In mathematics, Scholz's reciprocity law is a reciprocity law for quadratic residue symbols of real quadratic number fields discovered by and rediscovered by.

Statement
Suppose that p and q are rational primes congruent to 1 mod 4 such that the Legendre symbol (p/q) is 1. Then the ideal (p) factorizes in the ring of integers of Q($\sqrt{q}$) as (p)=𝖕𝖕' and similarly (q)=𝖖𝖖' in the ring of integers of Q($\sqrt{p}$). Write εp and εq for the fundamental units in these quadratic fields. Then Scholz's reciprocity law says that
 * [εp/𝖖] = [εq/𝖕]

where [] is the quadratic residue symbol in a quadratic number field.