On the Bombieri–Pila method over function fields

Alisa Sedunova · Acta Arithmetica · 2017

E. Bombieri and J. Pila introduced a method for bounding the number of integral lattice points that belong to a given arc under several assumptions. We generalize the Bombieri–Pila method to the case of function fields of genus 0 in one variable. We then

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