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arXiv · 1905.09378

An alternate proof of idempotent relations among periodic points and quotients

Xander Faber·Michelle Manes·Laura Walton
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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.

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Xander Faber, Michelle Manes, Laura Walton. 2019-05-22. An alternate proof of idempotent relations among periodic points and quotients. https://arxiv.org/abs/1905.09378

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