Distribution of Artin-Schreier extensions
arXiv:1107.0906 · doi:10.1016/j.jnt.2012.03.011
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.