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Mathematics > Number Theory

arXiv:2407.00374v1 (math)
[Submitted on 29 Jun 2024 ]

Title: Monogenity and Power Integral Bases: Recent Developments

Title: 单演性与幂积分基:近期发展

Authors:István Gaál
Abstract: Monogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area. Several of the listed results were presented at a series of online conferences titled "Monogenity and Power Integral Bases". We also give a collection of the most important methods used in several of these papers. A list of open problems for further research is also given.
Abstract: 单一代数性是代数数论中一个经典的研究领域,至今仍受到广泛关注。 本文综述了近年来该领域的研究成果。 其中一些列出的结果曾在一系列名为“单一代数性和幂积分基”的在线会议上展示。 我们还收集了这些论文中使用的一些重要方法。 此外,还列出了进一步研究的开放问题清单。
Subjects: Number Theory (math.NT)
MSC classes: 11R04, 11D59, 11D57, 11Y50
Cite as: arXiv:2407.00374 [math.NT]
  (or arXiv:2407.00374v1 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.2407.00374
arXiv-issued DOI via DataCite
Journal reference: published, Axioms 2024

Submission history

From: István Gaál [view email]
[v1] Sat, 29 Jun 2024 08:57:37 UTC (1,126 KB)
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