On the Bombieri-Pila Method Over Function Fields
Number Theory
2017-12-29 v1
Abstract
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. In this paper we generalize the Bombieri-Pila method to the case of function fields of genus 0 in one variable. We then apply the result to counting the number of elliptic curves contain in an isomorphism class and with coefficients in a box.
Cite
@article{arxiv.1506.08757,
title = {On the Bombieri-Pila Method Over Function Fields},
author = {A. Sedunova},
journal= {arXiv preprint arXiv:1506.08757},
year = {2017}
}
Comments
8 pages