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Class numbers and discriminants: algebraic and analytic number theory meet

Class numbers and discriminants: algebraic and analytic number theory meet
类数和判别式:代数和解析数论的结合
批准号:
DP240100186
负责人:
Prof Timothy Trudgian
金额:
$32.89万
依托单位国家:
澳大利亚
项目类别:
Discovery Projects
财政年份:
2024
资助国家:
澳大利亚
项目状态:
未结题
起止时间:
2024-01-01 至 2026-12-31

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中文摘要
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英文摘要
This project aims to investigate connections between analytic and algebraic number theory utilising the theoretical and computational expertise of the research group in number theory at UNSW Canberra. The potential findings are highly significant since the innovative generation of new fundamental knowledge will expand the field, and have cryptographic applications. The expected outcomes include increased capacity in fundamental science and greater understanding of classical and quantum cryptographic protocols. This project will provide the additional, and substantial, benefit of generating research output, training HDR students, and contributions towards national security.
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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:
A new upper bound for the Riemann zeta-function and applications to the distribution of prime numbers
  • 批准号:
    DE120100173
  • 项目类别:
    Discovery Early Career Researcher Award
  • 资助金额:
    $26.07万
  • 财政年份:
    2012
  • 负责人:
    Prof Timothy Trudgian
  • 依托单位:
海外基金