Distribution of Artin-Schreier extensions

Details Distribution of Artin-Schreier extensions Distribution of Artin-Schreier extensions

2011-07-05

arxiv.org/abs/1107.0906v2

Mathematics

Number Theory

Scientific paper

10.1016/j.jnt.2012.03.011

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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