Email this article p-adic valuation of exponential sums associated to trinomials and some consequences
- Authors: Castro F.N.1, Figueroa R.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 9, No 4 (2017)
- Pages: 257-266
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200868
- DOI: https://doi.org/10.1134/S2070046617040021
- ID: 200868
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Abstract
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.
About the authors
Francis N. Castro
Department of Mathematics
Author for correspondence.
Email: francis.castro@upr.edu
United States, San Juan, PR 00936
Raúl Figueroa
Department of Mathematics
Email: francis.castro@upr.edu
United States, San Juan, PR 00936
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