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math.NT2012
Newton's Method Over Global Height Fields
Xander Faber, Adam Towsley
Newton's method is used to approximate roots of complex valued functions f by creating a sequence of points that converges to a root of f in the usual topology. For any field K equ…
math.NT2012★ 3 cited
A Hasse Principle for Periodic Points
Adam Towsley
Let be a global field, let $\vp \in \Fx$ be a rational map of degree at least 2, and let $\a \in F$. We say that $\a $ is periodic if $\vpn (\a) = \a$ for some . A Ha…