中文摘要：

本文研究了Piatetski-Sharpiro素数集中的华定理．利用圆法和先进的素变量三角和估计．得到了一个大整数能表示成两个Piatetski-Sharpiro素数与一个Piatetski-Sharpiro素数的女次方和的形式．该结果是华林哥德巴赫问题的一种推广．

英文摘要：

In this paper, we investigate Hua Theorem in Piatetski-Sharpiro prime set. Appling circle method and the advanced estimation exponential sum of prime variable, we get that each large integer can be written as the sum of two Piatetski-Sharpiro primes and k-power of a Piatetski-Sharpiro prime. This result is an extension of Waring-Goldbach problem.