Analysis and Computations Related to the Riemann Hypothesis

黎曼假设相关的分析与计算

• 批准号: 8713737
• 负责人: Richard Varga
• 金额: $ 6.15万
• 依托单位: Kent State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-01 至 1990-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8713737&HistoricalAwards=false
• 关键词: Analysis; Computations; Related; Riemann; Hypothesis

This project is concerned with a computational attack on the Riemann Hypothesis. Specifically, a lower bound for the constant of Newman will be found using a combination of numerical calculations and analysis. The Riemann Hypothesis is equivalent to this constant being less than or equal to zero. Calculations of this type are entirely new and hold promise for estimating this constant. A second approach to the Riemann Hypothesis involves the evaluation of certain double integrals. The numerical evaluation of this type will be explored.

这个项目关注的是对黎曼假设的计算攻击。具体来说，纽曼常数的下界将使用数值计算和分析相结合的方法来找到。黎曼假设等于这个常数小于等于0。这种类型的计算是全新的，并且有望估算该常数。黎曼假设的第二种方法涉及对某些二重积分的求值。本文将探讨这种类型的数值评价。