Mixed exponential sums over finite fields

Francis N. Castro, Carlos J. Moreno
2000 Proceedings of the American Mathematical Society  
In this paper we calculate the conductor of a character that consists of the product of an additive and a multiplicative character. This computation improves the bound for exponential sums given by G. I. Perel muter. This calculation gives an easy method to compute the conductor associated to a character of the Galois group of the composite of an Artin-Schreier extension and a Kummer extension.
doi:10.1090/s0002-9939-00-05441-1 fatcat:iprdlutssncpllfqtk5s3g5zte