ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREEReport as inadecuate




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1 IMATH - Institut de Mathématiques de Toulon - EA 2134

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.





Author: Valérie Gillot - Philippe Langevin -

Source: https://hal.archives-ouvertes.fr/



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