p-adic valuation of exponential sums associated to trinomials and some consequences

In this paper, we compute the p -adic valuation of exponential sums associated to trinomials F ( X ) = 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 F p .

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Bibliographic Details
Published in:P-adic numbers, ultrametric analysis, and applications ultrametric analysis, and applications, 2017-10, Vol.9 (4), p.257-266
Main Authors: Castro, Francis N., Figueroa, Raúl
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
Sums
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Summary:In this paper, we compute the p -adic valuation of exponential sums associated to trinomials F ( X ) = 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 F p .
ISSN:2070-0466
2070-0474
DOI:10.1134/S2070046617040021