Distribution of Artin-Schreier-Witt extensions
arXiv:1304.1708 · doi:10.1016/j.jnt.2014.09.026
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.
arXiv commentarXiv 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)