论文标题
关于Lecacheux的Quintic多项式家庭
On Lecacheux's family of quintic polynomials
论文作者
论文摘要
Kida，Rikuna和Sato [KRS10]通过由相关的椭圆曲线引起的Kummer理论开发了Brumer的Quintic多项式的分类理论。我们将它们的结果推广到与Lecacheux的Quintic $ f_ {20} $ - 多项式相关的椭圆曲线，而不是Brumer的Quintic $ d_5 $ -polynomials。
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.
