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arXiv · 2102.02739

On the number of fixed points of the map $\gamma$

Niccolò Castronuovo
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Abstract

We recursively define a sequence $\{F_{n,k}\}_{n,k\in\mathbb N }$ and we prove that such sequence contains only the symbols $\{0,1\}.$ We investigate some number-theoretic properties of such sequence and of the way it can be generated. The number $F_n$ can be interpreted as the number of fixed points of semilength $n$ of the map $\gamma$ introduced by Barnabei et al. Our results partially answer conjectures posed by Cori et al.

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Niccolò Castronuovo. 2021-02-04. On the number of fixed points of the map $\gamma$. https://arxiv.org/abs/2102.02739

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