Distribution of Artin-Schreier-Witt extensions
Number Theory
2014-11-12 v3
Abstract
The article at hand contains exact asymptotic formulas for the distribution of conductors of abelian p-extensions of global function fields of characteristic p. These yield a new conjecture for the distribution of discriminants fueled by an interesting lower bound.
Keywords
Cite
@article{arxiv.1304.1708,
title = {Distribution of Artin-Schreier-Witt extensions},
author = {Thorsten Lagemann},
journal= {arXiv preprint arXiv:1304.1708},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1107.0906 [Remark of the author: Generalisation from elementary abelian p-groups to abelian p-groups]. appears in Journal of Number Theory (2015)