An alternate proof of idempotent relations among periodic points and quotients
Number Theory
2019-05-24 v1
Abstract
We give a short proof of an idempotent relation formula for counting periodic points of endomorphisms defined over finite fields. The original proof of this result, due to Walton, uses formal manipulation of arithmetic zeta functions, whereas we deduce the result directly from a related theorem of Kani and Rosen.
Keywords
Cite
@article{arxiv.1905.09378,
title = {An alternate proof of idempotent relations among periodic points and quotients},
author = {Xander Faber and Michelle Manes and Laura Walton},
journal= {arXiv preprint arXiv:1905.09378},
year = {2019}
}
Comments
5 pages