Complex sentence: In algebraic number theory the power residue symbol is a generalization of the Legendre symbol, used in the statement and proof of Eisenstein's Kummer's and other higher Quadratic reciprocity deals with squares; higher reciprocity refers to cubes, fourth and higher powers reciprocity laws.
Split into simpler sentences: In algebraic number theory the power residue symbol is a generalization of the Legendre symbol. It is used in the statement and proof of Eisenstein's Kummer's and related higher Quadratic reciprocity deals with squares; higher reciprocity refers to cubes, fourth and higher powers reciprocity laws.