论文标题
确定算术功能的概率特征的渐近行为以及概率数理论的其他一些问题
Determination of the asymptotic behavior of probabilistic characteristics of arithmetic functions and some other questions of probabilistic number theory
论文作者
论文摘要
本文考虑了质数分布的问题之一。从以下假设中获得了什么误差，即一系列素数的渐近密度是一种概率。获得了算术函数的大量法则的各种形式的类似物，尤其是耐心的ramunajan定理。给出了一种方法，用于查找算术功能的概率特征的渐近学。
One of the questions of distribution of prime numbers is considered in the article. It is shown what error is obtained from the assumption that the asymptotic density of a sequence of primes is a probability. Various forms of an analogue of the law of large numbers for arithmetic functions and, in particular, the Hardy-Ramunajan theorem are obtained. A method is given for finding asymptotics of the probabilistic characteristics of arithmetic functions.
