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arXiv · 2204.01651

Improved bounds on number fields of small degree

Theresa C. Anderson·Ayla Gafni·Kevin Hughes·Robert J. Lemke Oliver·David Lowry-Duda·Frank Thorne·Jiuya Wang·Ruixiang Zhang
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Abstract

We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$.

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Theresa C. Anderson, Ayla Gafni, Kevin Hughes, Robert J. Lemke Oliver, David Lowry-Duda, Frank Thorne, Jiuya Wang, Ruixiang Zhang. 2022-04-04. Improved bounds on number fields of small degree. https://doi.org/10.19086/da.127737

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