论文标题

使用Pell方程的等级的下限

Lower bounds for ranks using Pell equations

论文作者

Walsh, P. G.

论文摘要

我们检查了上一篇文章中曲线亚家族的等级,这些等级源自某些pell方程的解决方案的存在。我们表现​​出丰富的曲线中等程度的曲线,在轻度条件下,这些曲线至少排名三。

We examine the ranks of a subfamily of curves in a previous article, which are derived from the existence of solutions to certain Pell equations. We exhibit an abundance of curves of moderately large rank, and prove under mild conditions that these curves have rank at least three.

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