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arXiv 0904.0441math.COmath.NT
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有限域上范数、双线性和二次方程的可解性

The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs

Le Anh Vinh

摘要:

本文对最近用Fourier分析方法得到的关于有限域上某些方程组可解性的几个结果给出了统一的证明。粗略地说,我们表明,几乎所有的系统的范数,双线性或二次方程的有限域是可解的任何大子集的向量空间在有限域。

英文摘要:

In this paper we will give a unified proof of several results on the sovability of systems of certain equations over finite fields, which were recently obtained by Fourier analytic methods. Roughly speaking, we show that almost all systems of norm, bilinear or quadratic equations over finite fields are solvable in any large subset of vector spaces over finite fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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