Vinogradov three prime theorem with Piatetski-Shapiro primes

Yu-Chen Sun, Shanshan Du, Hao Pan

We prove that, for any $c_1,c_2,c_3\in (1,41/35)$, every sufficiently large odd number $N$ can be represented as the sum of three primes $N=p_1+p_2+p_3$ such that $p_i = \lfloo…