[{"date_created":"2025-08-25T12:37:47Z","author":[{"last_name":"Potthast","id":"63958","full_name":"Potthast, Nicolas","first_name":"Nicolas"}],"volume":379,"date_updated":"2025-12-12T08:40:53Z","publisher":"American Mathematical Society (AMS)","doi":"10.1090/tran/9509","title":"On the asymptotics of elementary-abelian extensions of local and global function fields","issue":"1","publication_status":"published","publication_identifier":{"issn":["1088-6850","0002-9947"]},"citation":{"ieee":"N. Potthast, “On the asymptotics of elementary-abelian extensions of local and global function fields,” <i>Transactions of the American Mathematical Society</i>, vol. 379, no. 1, pp. 289–340, 2026, doi: <a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>.","chicago":"Potthast, Nicolas. “On the Asymptotics of Elementary-Abelian Extensions of Local and Global Function Fields.” <i>Transactions of the American Mathematical Society</i> 379, no. 1 (2026): 289–340. <a href=\"https://doi.org/10.1090/tran/9509\">https://doi.org/10.1090/tran/9509</a>.","ama":"Potthast N. On the asymptotics of elementary-abelian extensions of local and global function fields. <i>Transactions of the American Mathematical Society</i>. 2026;379(1):289-340. doi:<a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>","bibtex":"@article{Potthast_2026, title={On the asymptotics of elementary-abelian extensions of local and global function fields}, volume={379}, DOI={<a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>}, number={1}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Potthast, Nicolas}, year={2026}, pages={289–340} }","mla":"Potthast, Nicolas. “On the Asymptotics of Elementary-Abelian Extensions of Local and Global Function Fields.” <i>Transactions of the American Mathematical Society</i>, vol. 379, no. 1, American Mathematical Society (AMS), 2026, pp. 289–340, doi:<a href=\"https://doi.org/10.1090/tran/9509\">10.1090/tran/9509</a>.","short":"N. Potthast, Transactions of the American Mathematical Society 379 (2026) 289–340.","apa":"Potthast, N. (2026). On the asymptotics of elementary-abelian extensions of local and global function fields. <i>Transactions of the American Mathematical Society</i>, <i>379</i>(1), 289–340. <a href=\"https://doi.org/10.1090/tran/9509\">https://doi.org/10.1090/tran/9509</a>"},"intvolume":"       379","page":"289 - 340","year":"2026","user_id":"63958","_id":"60993","language":[{"iso":"eng"}],"type":"journal_article","publication":"Transactions of the American Mathematical Society","status":"public","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>"}]}]