p-adic Valuation of Exponential Sums in One Variable Associated to Binomials
, oraz
22 lip 2017
O artykule
Kategoria artykułu: Dedicated to the fifth international conference on Uniform Distribution Theory (UDT 2016) Sopron, Hungary, July 5–8, 2016
Data publikacji: 22 lip 2017
Zakres stron: 37 - 53
Otrzymano: 08 lip 2015
Przyjęty: 16 gru 2015
DOI: https://doi.org/10.1515/udt-2017-0003
Słowa kluczowe
© 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.