Counting points of fixed degree and bounded height
Number Theory
2012-04-10 v1
Abstract
We consider the set of points in projective -space that generate an extension of degree over given number field , and deduce an asymptotic formula for the number of such points of absolute height at most , as tends to infinity. We deduce a similar such formula with instead of the absolute height, a so-called adelic-Lipschitz height.
Cite
@article{arxiv.1204.1745,
title = {Counting points of fixed degree and bounded height},
author = {Martin Widmer},
journal= {arXiv preprint arXiv:1204.1745},
year = {2012}
}