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arXiv:1108.1763 [math.NT]AbstractReferencesReviewsResources

Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic three

Simone Ugolini

Published 2011-08-08, updated 2012-05-13Version 5

In this paper we study the structure of the graphs associated with the iterations of the map $x \mapsto x+x^{-1}$ over finite fields of characteristic three.

Comments: The definitions of the maps $s$ and $\psi$ have been slightly modified in order to simplify the following discussion. 6 pages
Journal: Journal of Number Theory, 133 (4) (2013), 1207-1228
Categories: math.NT, math.DS
Subjects: 37P05
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