二项相关单变量指数和的p进值

Uniform distribution theory Pub Date : 2017-06-27 DOI:10.1515/udt-2017-0003

F. Castro, R. Figueroa, Puhua Guan

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引用次数: 2

摘要

摘要本文计算了与二项式F(X) = aXd 1 + bXd 2 / Fp相关的指数和的p进值。特别地，它的p进值对于a, b∈F * p是恒定的。作为我们的结果的副产品，我们得到了Fq上二项的值集大小的下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

Abstract 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.

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来源期刊

Uniform distribution theory

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