跟踪函数的超短和

Pub Date : 2023-02-27 DOI:10.4064/aa230308-11-5

E. Kowalski, Th'eo Untrau

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引用次数: 0

摘要

我们推广了Duke、Garcia、Hyde、Lutz等人关于与高斯周期相关的单位根的和的分布的结果，得到了任意积分多项式的零上相似和的等分布。我们还用跟踪函数来解释这些结果，并将它们推广到更高阶的跟踪函数。

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Ultra-short sums of trace functions

We generalize results of Duke, Garcia, Hyde, Lutz and others on the distribution of sums of roots of unity related to Gaussian periods to obtain equidistribution of similar sums over zeros of arbitrary integral polynomials. We also interpret these results in terms of trace functions, and generalize them to higher rank trace functions.

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