Additive decompositions induced by multiplicative characters over finite fields
Additive decompositions induced by multiplicative characters over finite fields
In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain additive properties.This result has been generalized in different directions, and our contribution is to provide a further generalization concerning multiplicative quadratic and cubic characters over any finite field.In particular, recalling that a character partitions the …