TL;DR
This paper derives precise asymptotic formulas for the distribution of conductors and discriminants of elementary abelian p-extensions in global function fields, providing new insights into their statistical behavior.
Contribution
It presents the first exact asymptotic formulas for the distribution of conductors and discriminants of elementary abelian p-extensions of global function fields.
Findings
Exact asymptotic formulas for conductors distribution
Asymptotic formula for discriminants of cyclic extensions
Lower bounds for noncyclic elementary abelian extensions
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.
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