数属数为1的五次域

IF 0.6 3区数学 Q3 MATHEMATICS Mathematical Research Letters Pub Date : 2023-09-13 DOI:10.4310/mrl.2023.v30.n2.a9

Kevin J. McGown, Frank Thorne, Amanda Tucker

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引用次数: 2

摘要

我们证明了关于五次域属数的几个结果:我们计算了五次域属数为1的比例;证明了五次域的正比例具有任意大的属数;我们计算了五次域的平均属数。所有这些结果在仅限于$S_5$-quintic字段时也成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Counting quintic fields with genus number one

We prove several results concerning genus numbers of quintic fields: we compute the proportion of quintic fields with genus number one; we prove that a positive proportion of quintic fields have arbitrarily large genus number; and we compute the average genus number of quintic fields. All of these results also hold when restricted to $S_5$-quintic fields only.

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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.