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arXiv 1601.01031math.NT
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复合模量的图循环超特征标

Graphical cyclic supercharacters for composite moduli

Bob Lutz

摘要:

最近的工作介绍了研究图形性质的循环超字符,功能$\mathbb{Z}/n\mathbb{Z}\to \mathbb{C}$,其价值是指数和密切联系高斯和高斯周期。这些函数的曲线图显示出显著的特征,其中一些特征在前面已经解释过,当模数$n$是奇素数的幂时。在回顾了这些材料之后,我们开始了对复合$n$的循环超字符图像的图形研究。

英文摘要:

Recent work has introduced the study of graphical properties of cyclic supercharacters, functions $\mathbb{Z}/n\mathbb{Z}\to \mathbb{C}$ whose values are exponential sums with close connections to Gauss sums and Gaussian periods. Plots of these functions exhibit striking features, some of which have been previously explained when the modulus $n$ is a power of an odd prime. After reviewing this material, we initiate the graphical study of images of cyclic supercharacters in the case of composite $n$.

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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