Unmotivated ergodic averages
Number Theory
2023-09-26 v1 Dynamical Systems
Abstract
We consider weighted ergodic averages indexed by primes, where the weight depends on the prime, and is a "trace function" coming from algebraic geometry. We obtain extensions the classical mean-ergodic and pointwise ergodic theorems, as well as some result in the topological setting, and raise some further problems.
Keywords
Cite
@article{arxiv.2309.13576,
title = {Unmotivated ergodic averages},
author = {Emmanuel Kowalski},
journal= {arXiv preprint arXiv:2309.13576},
year = {2023}
}
Comments
35 pages; these are fairly informal notes, not intended for publication