p-adic valuation of exponential sums associated to trinomials and some consequences
Tóm tắt
In this paper, we compute the p-adic valuation of exponential sums associated to trinomials
$$F\left( X \right) = a{X^{{d_1}}} + b{X^{{d_2}}} + c{X^{{d_3}}}$$
over Fp. As a byproduct of our results, we obtain restrictions for permutation polynomials of type
$$a{X^{{d_1}}} + b{X^{{d_2}}} + c{X^{{d_3}}}$$
over Fp.
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