超椭圆曲线、连分数和Somos序列
Hyperelliptic curves, continued fractions, and Somos sequences
摘要：
本文详细讨论了偶数次首一多项式的平方根的连分数展开式。我们注意到，展开式的每一步都对应于无穷远处除数的加法，并解释了一般展开式产生的数据。在四次和六次的情况下，我们观察到明确的参数出现在连分数扩展产生的整数序列定义的双线性关系实例序列的Somos型。
英文摘要：
We detail the continued fraction expansion of the square root of a monic polynomials of even degree. We note that each step of the expansion corresponds to addition of the divisor at infinity, and interpret the data yielded by the general expansion. In the quartic and sextic cases we observe explicitly that the parameters appearing in the continued fraction expansion yield integer sequences defined by bilinear relations instancing sequences of Somos type.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
