Dirichlet L-functions, Erdos-Kac theorems, and applications to number theory

Dirichlet L 函数、Erdos-Kac 定理以及在数论中的应用

• 批准号: RGPIN-2016-03756
• 负责人: Martin, Greg
• 金额: $ 1.97万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635536
• 关键词: Dirichlet; functions; Erdos; Kac; theorems

Number theory is one of the most ancient fields of mathematics, often having unexpected application to the real world (such as cryptography and acoustics) as well as other fields of math. Analytic number theory revolves around the single central theme of using the techniques of analysis (such as calculus and complex numbers) to establish information about numbers (such as prime numbers and special sequences). My research involves three aspects of this central theme: zeros of

数论是最古老的数学领域之一，经常在现实世界(如密码学和声学)以及其他数学领域有意想不到的应用。解析数论围绕一个中心主题，即使用分析技术(如微积分和复数)来建立有关数的信息(如质数和特殊序列)。我的研究涉及这一中心主题的三个方面：