A reciprocity theorem for the case solved by Gauss using "integers" of the form , when is a root of (i.e., equals or ) and , are integers.
Cubic Reciprocity Theorem
See also
Cubic Residue, Reciprocity TheoremExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Cubic Reciprocity TheoremCite this as:
Weisstein, Eric W. "Cubic Reciprocity Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CubicReciprocityTheorem.html