p-adic Valuation of Exponential Sums in One Variable Associated to Binomials

p-adic Valuation of Exponential Sums in One Variable Associated to Binomials

In this paper we compute the p-adic valuation of exponential sums associated to binomials F(X) = aX + bX over F . In particular, its p-adic valuation is constant for a, b ∈ F∗ . As a byproduct of our results, we obtain a lower bound for the sizes of value sets of binomials over F

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Veröffentlicht in:Uniform distribution theory 2017-06, Vol.12 (1), p.37-53
Hauptverfasser: Castro, Francis N., Figueroa, Raúl, Guan, Puhua
Format: Artikel
Sprache:eng
Schlagworte:
exponential sums
p-divisibility
value sets
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Zusammenfassung:In this paper we compute the p-adic valuation of exponential sums associated to binomials F(X) = aX + bX over F . In particular, its p-adic valuation is constant for a, b ∈ F∗ . As a byproduct of our results, we obtain a lower bound for the sizes of value sets of binomials over F
ISSN:2309-5377
2309-5377
DOI:10.1515/udt-2017-0003