Pair correlation and twin primes revisited
Pair correlation and twin primes revisited
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重温配对相关性和孪生素数
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
J. Keating
中科院分区：
文献类型：
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作者：
B. Conrey;J. Keating
我们建立了Riemann zeta函数的代数二比二公式和关于某个算术函数相关性的猜想之间的联系。具体地说，我们证明了比率猜想和算术相关性猜想意味着相同的结果。这为比率猜想的基础提供了新的线索，而比率猜想以前是通过与随机矩阵理论中的公式进行类比和启发式配方来激发的。
We establish a connection between the conjectural two-over-two ratios formula for the Riemann zeta-function and a conjecture concerning correlations of a certain arithmetic function. Specifically, we prove that the ratios conjecture and the arithmetic correlations conjecture imply the same result. This casts a new light on the underpinnings of the ratios conjecture, which previously had been motivated by analogy with formulae in random matrix theory and by a heuristic recipe.