@article{60993,
  abstract     = {{<p>We determine the distribution of discriminants of wildly ramified elementary-abelian extensions of local and global function fields in characteristic <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mml:semantics>
    <mml:mi>p</mml:mi>
    <mml:annotation encoding="application/x-tex">p</mml:annotation>
  </mml:semantics>
</mml:math>
</inline-formula>. For local and rational function fields, we also give precise formulae for the number of elementary-abelian extensions with a fixed discriminant divisor, which describe a local-global principle.</p>}},
  author       = {{Potthast, Nicolas}},
  issn         = {{1088-6850}},
  journal      = {{Transactions of the American Mathematical Society}},
  number       = {{1}},
  pages        = {{289 -- 340}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{On the asymptotics of elementary-abelian extensions of local and global function fields}}},
  doi          = {{10.1090/tran/9509}},
  volume       = {{379}},
  year         = {{2026}},
}