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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(√''q'') as (''p'')=𝖕𝖕' and similarly (''q'')=𝖖𝖖' in the ring of integers of Q(√''p''). Write ε''p'' and ε''q'' for the fundamental units in these quadratic fields. Then Scholz's reciprocity law says that :() = () where [] is the quadratic residue symbol in a quadratic number field. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Scholz's reciprocity law」の詳細全文を読む スポンサード リンク
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