Article ID Journal Published Year Pages File Type
4595045 Journal of Number Theory 2008 7 Pages PDF
Abstract

In this brief note, we will investigate the number of points of bounded height in a projective variety defined over a function field, where the function field comes from a projective variety of dimension greater than or equal to 2. A first step in this investigation is to understand the p-adic analytic properties of the height zeta function. In particular, we will show that for a large class of projective varieties this function is p-adic meromorphic.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory