Quartic Reciprocity Theorem

Gauß stated the case $n=4$ using the Gaussian Integers.

See also Reciprocity Theorem

References

Ireland, K. and Rosen, M. ``Cubic and Biquadratic Reciprocity.'' Ch. 9 in A Classical Introduction to Modern Number Theory, 2nd ed. New York: Springer-Verlag, pp. 108-137, 1990.