On the iterations of certain maps $x \mapsto k \cdot(x+x^{-1})$ over finite fields of odd characteristic

Simone Ugolini

doi:10.1016/j.jnt.2014.02.024

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arXiv · 1304.3283

On the iterations of certain maps $x \mapsto k \cdot(x+x^{-1})$ over finite fields of odd characteristic

Simone Ugolini

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Abstract

In this paper we describe the dynamics of certain rational maps of the form $k \cdot (x+x^{-1})$ over finite fields of odd characteristic.

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Simone Ugolini. 2013-07-03. On the iterations of certain maps $x \mapsto k \cdot(x+x^{-1})$ over finite fields of odd characteristic. https://doi.org/10.1016/j.jnt.2014.02.024

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