{"status":"public","date_updated":"2025-08-25T13:00:29Z","user_id":"63958","citation":{"mla":"Potthast, Nicolas. “On the Asymptotics of Elementary-Abelian Extensions of Local and Global Function Fields.” <i>Transactions of the American Mathematical Society</i>, American Mathematical Society (AMS), 2025, doi:<a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>.","bibtex":"@article{Potthast_2025, title={On the asymptotics of elementary-abelian extensions of local and global function fields}, DOI={<a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Potthast, Nicolas}, year={2025} }","ama":"Potthast N. On the asymptotics of elementary-abelian extensions of local and global function fields. <i>Transactions of the American Mathematical Society</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>","apa":"Potthast, N. (2025). On the asymptotics of elementary-abelian extensions of local and global function fields. <i>Transactions of the American Mathematical Society</i>. <a href=\"https://doi.org/10.1090/tran/9509\">https://doi.org/10.1090/tran/9509</a>","short":"N. Potthast, Transactions of the American Mathematical Society (2025).","chicago":"Potthast, Nicolas. “On the Asymptotics of Elementary-Abelian Extensions of Local and Global Function Fields.” <i>Transactions of the American Mathematical Society</i>, 2025. <a href=\"https://doi.org/10.1090/tran/9509\">https://doi.org/10.1090/tran/9509</a>.","ieee":"N. Potthast, “On the asymptotics of elementary-abelian extensions of local and global function fields,” <i>Transactions of the American Mathematical Society</i>, 2025, doi: <a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>."},"author":[{"last_name":"Potthast","id":"63958","full_name":"Potthast, Nicolas","first_name":"Nicolas"}],"title":"On the asymptotics of elementary-abelian extensions of local and global function fields","publication_identifier":{"issn":["1088-6850","0002-9947"]},"publication":"Transactions of the American Mathematical Society","year":"2025","doi":"10.1090/tran/9509","abstract":[{"lang":"eng","text":"<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\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"p\">\r\n  <mml:semantics>\r\n    <mml:mi>p</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">p</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</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>"}],"publication_status":"published","_id":"60993","date_created":"2025-08-25T12:37:47Z","type":"journal_article","publisher":"American Mathematical Society (AMS)","language":[{"iso":"eng"}]}