论文标题
theta积分的变形和总体质量的猜想
Deformations of Theta Integrals and A Conjecture of Gross-Zagier
论文作者
论文摘要
在本文中，我们完成了关于模块化曲线产物上单个CM点上高绿色函数的代数的总体和Zagier的猜想的证明。新的成分是一个不连贯的艾森斯坦系列在一个真正的二次场上的类似物，该二次场构建为doi-naganuma theta升起的theta theta theta theta积分在多纤维空间上的积分。
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over a real quadratic field, which is constructed as the Doi-Naganuma theta lift of a deformed theta integral on hyperbolic space.
