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Pointwise ergodic theorem along the prime numbers |
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| Authors: | Mate Wierdl |
| Institution: | (1) Department of Mathematics, The Ohio State University, 43210-1174 Columbus, OH, USA |
| Abstract: | The pointwise ergodic theorem is proved for prime powers for functions inL p,p>1. This extends a result of Bourgain where he proved a similar theorem forp>(1+√3)/2. This paper is a part of the author’s Ph.D. thesis supervised by V. Bergelson. |
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