有限域上多项式指数和的p-adic估计

丁博辉, 曹炜

数学学报 ›› 2015, Vol. 58 ›› Issue (3) : 501-506.

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数学学报 ›› 2015, Vol. 58 ›› Issue (3) : 501-506. DOI: 10.12386/A2015sxxb0051
论文

有限域上多项式指数和的p-adic估计

    丁博辉, 曹炜
作者信息 +

p-adic Estimates for Exponential Sums of Polynomials over Finite Fields

    Bo Hui DING, Wei CAO
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文章历史 +

摘要

设f为有限域上的一个多元多项式.它的次数矩阵Df由出现在f中的次数向量构成.本文利用Df给出了多项式f的指数和的一个p-adic估计,它改进和推广了该方向许多已知的结果.

Abstract

Let f be a multivariate polynomial over a finite field. Its degree matrix Df is defined to be the matrix whose columns are the degree vectors appearing in f. In this paper, we obtain a p-adic estimate for the exponential sum of f in terms of Df, which improves and generalizes some previously known results.

关键词

有限域 / 次数矩阵 / 指数和 / p-adic估计

Key words

finite field / degree matrix / exponential sum / p-adic estimate

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丁博辉, 曹炜. 有限域上多项式指数和的p-adic估计. 数学学报, 2015, 58(3): 501-506 https://doi.org/10.12386/A2015sxxb0051
Bo Hui DING, Wei CAO. p-adic Estimates for Exponential Sums of Polynomials over Finite Fields. Acta Mathematica Sinica, Chinese Series, 2015, 58(3): 501-506 https://doi.org/10.12386/A2015sxxb0051

参考文献

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基金

国家自然科学基金资助项目(11371208); 宁波市自然科学基金(2013A610102, 2014A610017)

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