四孔球的辅助参数
Accessory Parameters for Four-Punctured Spheres
摘要：
从模形式的角度研究了四穿孔球面的辅助参数问题。给出均匀化的辅助参数的值被表征为方程组的唯一零点。这为求解均匀化微分方程提供了一种有效的方法。作为应用，我们数值计算和研究了实解析函数关于四穿孔球面的局部展开式及其均匀化参数的值，并对其系数作了一些观察。
英文摘要：
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.
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。
