p-adic Valuation of Exponential Sums in One Variable Associated to Binomials
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22 jul 2017
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Categoría del artículo: Dedicated to the fifth international conference on Uniform Distribution Theory (UDT 2016) Sopron, Hungary, July 5–8, 2016
Publicado en línea: 22 jul 2017
Páginas: 37 - 53
Recibido: 08 jul 2015
Aceptado: 16 dic 2015
DOI: https://doi.org/10.1515/udt-2017-0003
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper we compute the p-adic valuation of exponential sums associated to binomials F(X) = aXd₁ + bXd₂ over Fp. In particular, its p-adic valuation is constant for a, b ∈ F∗p . As a byproduct of our results, we obtain a lower bound for the sizes of value sets of binomials over Fq.