Topics in Multiplicative Number Theory

乘法数论主题

• 批准号: 2406035
• 金额: --
• 依托单位: UNIVERSITY OF EXETER
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2406035
• 关键词: Topics; Multiplicative; Number; Theory

The project will investigate several problems about mean values of arithmetic functions in the context of function fields. Specifically, it will focus on the mean value of arithmetic functions in short intervals and in arithmetic progressions using the new techniques developed by Keating and Rudnick. Another aspect of the project is the study of mean values of L-functions over function fields focusing on the study of the distribution of zeros and their statistics.

本专题将在函数域的背景下研究算术函数的均值的几个问题。具体来说，它将集中在算术函数的平均值在短时间内，并在算术级数使用的新技术开发的基廷和鲁德尼克。该项目的另一个方面是研究函数域上L函数的平均值，重点是研究零点的分布及其统计。