论文标题
字符总和的限制分布
The Limiting Distribution of Character Sums
论文作者
论文摘要
在本文中,我们考虑了Dirichlet字符的连续路径的分布。我们还使用Steinhaus随机乘法函数发现了一个限制分布,为$ q \ rightarrow \ infty $,表明此随机过程的属性。这是由科瓦尔斯基(Kowalski)和索金(Sawin)在克卢斯特曼(Kloosterman)道路上的工作引起的。
In this paper, we consider the distribution of the continuous paths of Dirichlet character sums modulo prime $q$ on the complex plane. We also find a limiting distribution as $q \rightarrow \infty$ using Steinhaus random multiplicative functions, stating properties of this random process. This is motivated by Kowalski and Sawin's work on Kloosterman paths.