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

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
项目状态:
已结题
起止时间:
2012-06-30 至 2016-12-24

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中文摘要
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英文摘要
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.
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Class numbers and discriminants: algebraic and analytic number theory meet
  • 批准号:
    DP240100186
  • 项目类别:
    Discovery Projects
  • 资助金额:
    $32.89万
  • 财政年份:
    2024
  • 负责人:
    Prof Timothy Trudgian
  • 依托单位:
Verifying the Riemann hypothesis to large heights: theory and applications
  • 批准号:
    DP160100932
  • 项目类别:
    Discovery Projects
  • 资助金额:
    $24.05万
  • 财政年份:
    2016
  • 负责人:
    Prof Timothy Trudgian
  • 依托单位:
Explicit methods in number theory: Computation, theory and application
  • 批准号:
    FT160100094
  • 项目类别:
    ARC Future Fellowships
  • 资助金额:
    $45.64万
  • 财政年份:
    2016
  • 负责人:
    Prof Timothy Trudgian
  • 依托单位:
海外基金