Exact Divisibility of Exponential Sums and Some Consequences

by Francis N. Castro, Raul Figueroa, and Luis A. Medina


In this paper we compute the exact divisibility of some exponential sums \(\mathbb{F}_p\). Our results imply that these families of polynomials are not permutation polynomials of \(\mathbb{F}_p\). Also, we apply our results to the Waring problem.

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