Pointwise ergodic theorem along the prime numbers
The pointwise ergodic theorem is proved for prime powers for functions in L p, p>1. This extends a result of Bourgain where he proved a similar theorem for p>(1+√3)/2. © 1988 The Weizmann Science Press of Israel.
Israel Journal of Mathematics
Wierdl, M. (1988). Pointwise ergodic theorem along the prime numbers. Israel Journal of Mathematics, 64 (3), 315-336. https://doi.org/10.1007/BF02882425