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「Random matrices have simple spectrum」笔记：问题从哪来、证明卡在哪
Van Vu and I have just uploaded to the arXiv our paper “Random matrices …
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读懂「254A, Supplement 2: A little bit of complex and」：先把定义、反例和适用范围钉死
We will shortly turn to the complex-analytic approach to multiplicative …
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「254A, Notes 2: Complex-analytic multiplicative n」笔记：问题从哪来、证明卡在哪
In Notes 1, we approached multiplicative number theory (the study of mul…
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读懂「254A, Supplement 3: The Gamma function and the f」：先把定义、反例和适用范围钉死
In Notes 2, the Riemann zeta function (and more generally, the Dirichlet…
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读懂「Long gaps between primes」：先把定义、反例和适用范围钉死
Kevin Ford, Ben Green, Sergei Konyagin, James Maynard, and I have just u…
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「The Erdos-Ulam problem, varieties of general typ」：数学直觉如何落到可检验的步骤
In 1946, Ulam, in response to a theorem of Anning and Erdös, posed the f…
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「254A, Supplement 4: Probabilistic models and heu」：数学直觉如何落到可检验的步骤
We now move away from the world of multiplicative prime number theory co…
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把「254A, Notes 3: The large sieve and the Bombieri-」写成可执行的阅读路径
A fundamental and recurring problem in analytic number theory is to demo…
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把「254A, Notes 4: Some sieve theory」写成可执行的阅读路径
Many problems in non-multiplicative prime number theory can be recast as…
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「254A, Supplement 5: The linear sieve and Chen’s」：数学直觉如何落到可检验的步骤
We continue the discussion of sieve theory from Notes 4, but now special…