Cubic Reciprocity Theorem

A reciprocity theorem for the case n=3 solved by Gauss using "integers" of the form a+brho, when rho is a root of x^2+x+1=0 (i.e., rho equals -(-1)^(1/3) or (-1)^(2/3)) and a, b are integers.

See also

Cubic Residue, Reciprocity Theorem

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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 Theorem

Cite this as:

Weisstein, Eric W. "Cubic Reciprocity Theorem." From MathWorld--A Wolfram Web Resource.

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