Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro sets

Xiaotian Li, Jinjiang Li, Min Zhang

Vinogradov's three primes theorem indicates that, for every sufficiently large odd integer $N$, the equation $N=p_1+p_2+p_3$ is solvable in prime variables $p_1,p_2,p_3$. In this p…