论文标题
通过Pólya-Vinogradov界定的Burgess的明确改进
Explicit Improvements to the Burgess Bound Via Pólya-Vinogradov
论文作者
论文摘要
我们将Fromm和Goldmakher的定理显式[Arxiv：1706.03002]，该定理指出，仅通过改善Pólya-Vinogradov不平等的领先常数，就可以改善Burgess的短角色总和。为了实现这一目标，我们建立了与实际乘法函数和迪克曼函数的平均值相关的几个估计值的明确版本。
We make explicit a theorem of Fromm and Goldmakher [arXiv:1706.03002], which states that one can improve Burgess' bound for short character sums simply by improving the leading constant in the Pólya-Vinogradov inequality. Towards achieving this, we establish explicit versions of several estimates related to the mean values of real multiplicative functions and the Dickman function.
