论文标题
Riemann Zeta Zeros差异的分布
Distributions of differences of Riemann zeta zeros
论文作者
论文摘要
我们研究了未量化的Riemann Zeta Zeros的差异分布，$γ-γ'$，整个。我们表明，与零的位置无关，它们的差异具有相似的统计特性。差异的分布偏向最接近的Zeta零，局部最大方差和局部最小值的峰度在每个Zeta零。此外，我们表明，尽管分布的偏度或峰度的价值，但分布仍可以拟合约翰逊概率密度函数。
We study distributions of differences of unscaled Riemann zeta zeros, $γ-γ'$, at large. We show, that independently of the location of the zeros, their differences have similar statistical properties. The distributions of differences are skewed towards the nearest zeta zero, have local maximum of variance and local minimum of kurtosis at or near each zeta zero. Furthermore, we show that distributions can be fitted with Johnson probability density function, despite the value of skewness or kurtosis of the distribution.
