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arXiv · 1107.0906

Distribution of Artin-Schreier extensions

Thorsten Lagemann
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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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Thorsten Lagemann. 2012-04-23. Distribution of Artin-Schreier extensions. https://doi.org/10.1016/j.jnt.2012.03.011

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