Number theory

数论

• 批准号: 1000231110-2016
• 负责人: Radziwill, Maksym
• 金额: $ 3.64万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2018
• 资助国家: 加拿大
• 起止时间: 2018-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=662867
• 关键词: Number; theory

Analytic number theory studies the properties of integers, with particular focus on their building blocks, the primes. It is a classical area of pure mathematics, yet currently undergoing revolutionary changes. The field has wide ranging application, in computer science, cryptography, and more recently physics, connecting for example the behavior of particles to the behavior of zeros of the Riemann zeta-function, which dictates the behavior of the primes. The research program aims to tackle some of the outstanding challenges in the field, namely those related to the way integers factor into primes, and apply this new knowledge in the field of cyber-security.

解析数论研究整数的性质，特别关注它们的构建块，素数。它是纯数学的经典领域，但目前正在发生革命性的变化。该领域在计算机科学，密码学和最近的物理学中有广泛的应用，例如将粒子的行为与黎曼zeta函数的零的行为联系起来，这决定了素数的行为。该研究计划旨在解决该领域的一些突出挑战，即与整数分解为素数的方式有关的挑战，并将这些新知识应用于网络安全领域。