Improved bounds on number fields of small degree

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

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 ≤ n ≤ 94.

Citation

Anderson, T. C., Gafni, A., Hughes, K., Lemke Oliver, R. J., Lowry-Duda, D., Thorne, F., Wang, J., & Zhang, R. (2024). Improved bounds on number fields of small degree. Discrete Analysis, 19, https://doi.org/10.19086/da.127737

• Journal Article Type: Article
• Acceptance Date: Feb 19, 2024
• Online Publication Date: Dec 23, 2024
• Publication Date: 2024
• Deposit Date: May 1, 2024
• Publicly Available Date: May 2, 2024
• Journal: Discrete Analysis
• Electronic ISSN: 2397-3129
• Publisher: Alliance of Diamond Open Access Journals
• Peer Reviewed: Peer Reviewed
• Volume: 19
• DOI: https://doi.org/10.19086/da.127737
• Publisher URL: https://arxiv.org/abs/2204.01651