Quadratisches Reziprozitätsgesetz/Jacobi/Aufgabe

Zeige für zwei ungerade positive Zahlen ${}n$ und ${}m$ die Beziehung

\left({\frac {m}{n}}\right)\left({\frac {n}{m}}\right)=(-1)^{{\frac {n-1}{2}}{\frac {m-1}{2}}}.

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