Pointwise ergodic theorems along fractional powers of primes

Erik Bahnson, Leonidas Daskalakis, Abbas Dohadwala +1

We establish pointwise convergence for nonconventional ergodic averages taken along $\lfloor p^c\rfloor$, where $p$ is a prime number and $c\in (1,4/3)$ on $L^r$, $r\in (1,\infty )$.…