The ternary Goldbach problem with two Piatetski-Shapiro primes and a prime with a missing digit

Helmut Maier, Michael Th. Rassias

Let $${\gamma }^{\ast }=\frac{8}{9}+\frac{2}{3}\frac{\log (10/9)}{\log 10}(\approx 0.919\dots ).$$ Let ${\gamma }^{\ast }<{\gamma }_0\le 1$, $c_0=1/{\gamma }_0$ be fixed. Let also $a_0\in \{0,1,\dots ,9\}$.\\ We prove…