关于可表为两个平方和的整数的因子的β-律 献给余家荣教授100华诞

β-law on divisors of integers representable as sum of two squares

本文借助Selberg-Delange方法,证明除数整数的平均分布可以表示为两个平方的总和收敛于β-律.

In this paper, with the help of the Selberg-Delange method we prove that the average distribution of divisors over integers representable as sum of two squares converges to the β-law.