Mixed exponential sums over finite fields
Francis N. Castro, Carlos Moreno · Proceedings of the American Mathematical Society · 2000
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$^\prime$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.