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