论文标题
四函数球的附件参数
Accessory Parameters for Four-Punctured Spheres
论文作者
论文摘要
我们从模块化形式的角度研究了四函数球的附件参数问题。给出均匀化的附件参数的值将以方程式系统的唯一零为特征。这提供了一种有效的方法来计算统一的微分方程。作为一种应用，我们对数值并研究了将实体分析函数与四函数相关的局部扩展具有其均匀参数的值，并对其系数进行了一些观察。
We study the accessory parameter problem for four-punctured spheres from the point of view of modular forms. The value of the accessory parameter giving the uniformization is characterized as the unique zero of a system of equations. This gives an effective method to compute the uniformizing differential equation. As an application, we compute numerically and study the local expansion of the real-analytic function associating to a four-punctured sphere the value of its uniformizing parameter, and make some observations on its coefficients.
