ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
Valérie Gillot, Philippe Langevin · Glasgow Mathematical Journal · 2010
Abstract In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential sums by means of q-degrees. The method consists in applying suitable elementary transformations to see an exponential sum over a finite field as an exponential sum over a product of subfields in order to apply Deligne bound. In particular, we obtain new results on the spectral amplitude of some monomials.