Article
P-Adic Valuation of Exponential Sums in One Variable Associated to Binomials
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Abstract
In this paper we compute the p-adic valuation of exponential sums associated to binomials F (X) = aXd1 + bXd2 over F p. 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 F q.
Keywords
p-divisibility, exponential sums, value sets.
Citation
Castro, F. N., Figueroa, R., & Guan, P. (2017). P-adic valuation of exponential sums in one variable associated to binomials. Uniform Distribution Theory, 12(1), 37–53. https://doi.org/10.1515/udt-2017-0003
F. N. Castro, R. Figueroa and P. Guan, “P-adic valuation of exponential sums in one variable associated to binomials,” Uniform Distribution Theory, vol. 12, no. 1, pp. 37–53, 2017, doi: 10.1515/udt-2017-0003.
Castro FN, Figueroa R, Guan P. P-adic valuation of exponential sums in one variable associated to binomials. Uniform Distribution Theory. 2017;12(1):37–53. doi:10.1515/udt-2017-0003.
Castro, F. N., Figueroa, R. and Guan, P. (2017), ‘P-adic valuation of exponential sums in one variable associated to binomials’, Uniform Distribution Theory, 12(1), pp. 37–53. Available at: https://doi.org/10.1515/udt-2017-0003.
Castro, Francis N., et al. “P-adic Valuation of Exponential Sums in One Variable Associated to Binomials.” Uniform Distribution Theory, vol. 12, no. 1, 2017, pp. 37–53. https://doi.org/10.1515/udt-2017-0003.
Castro, Francis N., Raul Figueroa, and Puhua Guan. “P-adic Valuation of Exponential Sums in One Variable Associated to Binomials.” Uniform Distribution Theory 12, no. 1 (2017): 37–53. https://doi.org/10.1515/udt-2017-0003.
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Published by: Engineering Journals
