表大偶数为两个Piatetski-Shapiro素数之和

摘要

In this paper, we study the binary Goldbach problem in the set of the Piatetski-Shapiro primes. We obtain that for all most all large even integer n, the equation n = p1 + p2, pi ∈ Pγi , i=1, 2 has solutions, where 0 ＜γ1,γ2 ≤ 1 are fixed real numbers, such that 73(1 - γ2) ＜ 9, 73(1 -γ1) + 43(1 - γ2) ＜ 9.