论文标题
用于素数功能总和的渐近学
Asymptotics for sums of functions of primes
论文作者
论文摘要
这项工作为确定基于素数分布的函数函数之和的渐近行为提供了一种普遍的方法。它完善了对素数功能总和的渐近扩展的剩余项的估计。同样，在本文中证明了这些渐近药的存在所必需的和充分的条件。
This work gives a general approach to the determination of the asymptotic behavior of the sums of functions of primes based on the distribution of primes. It refines the estimate of the remainder term of the asymptotic expansion of the sums of functions of primes. Also, the necessary and sufficient conditions for the existence of these asymptotics are proved in the paper.
