 | This article may be too technical for most readers to understand. (October 2022) |
In algebraic number theory the n-th power residue symbol (for an integer n > 2) is a generalization of the (quadratic) Legendre symbol to n-th powers. These symbols are used in the statement and proof of cubic, quartic, Eisenstein, and related higher[1] reciprocity laws.[2]
- ^ Quadratic reciprocity deals with squares; higher refers to cubes, fourth, and higher powers.
- ^ All the facts in this article are in Lemmermeyer Ch. 4.1 and Ireland & Rosen Ch. 14.2