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ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
Published online by Cambridge University Press: 29 March 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.
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- Copyright © Glasgow Mathematical Journal Trust 2010
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