Distribution of Artin-Schreier extensions
Number Theory
2012-04-30 v2
Abstract
The article at hand contains exact asymptotic formulas for the distribution of conductors of elementary abelian p-extensions of global function fields of characteristic p. As a consequence for the distribution of discriminants, this leads to an exact asymptotic formula for simple cyclic extensions and an interesting lower bound for noncyclic elementary abelian extensions.
Keywords
Cite
@article{arxiv.1107.0906,
title = {Distribution of Artin-Schreier extensions},
author = {Thorsten Lagemann},
journal= {arXiv preprint arXiv:1107.0906},
year = {2012}
}