On Lecacheux’s family of quintic polynomials

IF 0.4 4区数学 Q4 MATHEMATICS Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-03-30 DOI:10.3792/pjaa.97.001

A. Hoshi, Masakazu Koshiba

引用次数: 0

Abstract

Kida, Rikuna and Sato [KRS10] developed a classification theory for Brumer's quintic polynomials via Kummer theory arising from associated elliptic curves. We generalize their results to elliptic curves associated to Lecacheux's quintic $F_{20}$-polynomials instead of Brumer's quintic $D_5$-polynomials.

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关于Lecacheux的五次多项式族

Kida、Rikuna和Sato [KRS10]通过由相关椭圆曲线产生的Kummer理论，发展了Brumer五次多项式的分类理论。我们将其结果推广到与Lecacheux的五次$F_{20}$-多项式相关的椭圆曲线上，而不是与Brumer的五次$D_5$-多项式相关的椭圆曲线上。

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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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

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0.00%

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审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.

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