A new upper bound for the Riemann zeta-function and applications to the distribution of prime numbers

黎曼 zeta 函数的新上限及其在素数分布中的应用

• 批准号: DE120100173
• 负责人: Prof Timothy Trudgian
• 金额: $ 26.07万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2012
• 资助国家: 澳大利亚
• 起止时间: 2012-06-30 至 2016-12-24
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE120100173
• 关键词: new; upper; bound; Riemann; zeta

Prime numbers are known to every schoolchild and are ubiquitous in modern cryptography; some of their deepest properties relate to a function called the Riemann zeta-function. This project aims at better estimating this function, thereby improving current knowledge on the distribution of prime numbers.

质数是每个小学生都知道的，并且在现代密码学中无处不在。它们的一些最深层的性质与称为黎曼 zeta 函数的函数有关。该项目旨在更好地估计该函数，从而提高当前对素数分布的了解。