标度不变相关性和素数分布
Scale invariant correlations and the distribution of prime numbers
摘要：
素数分布的负相关被发现显示出尺度不变性。这与非平稳行为一起发生。我们比较素数系列的一种类型的分数布朗运动，它结合了标度不变性和非平稳行为。有趣的差异仍然存在。尺度不变性似乎也意味着黎曼假设，我们研究使用前者作为检验后者。
英文摘要：
Negative correlations in the distribution of prime numbers are found to display a scale invariance. This occurs in conjunction with a nonstationary behavior. We compare the prime number series to a type of fractional Brownian motion which incorporates both the scale invariance and the nonstationary behavior. Interesting discrepancies remain. The scale invariance also appears to imply the Riemann hypothesis and we study the use of the former as a test of the latter.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
