论文标题
二面体玛刺形式的量子差异
Quantum variance for dihedral Maass forms
论文作者
论文摘要
我们建立了一个在$γ_0（d）\ backslash \ mathbb h $上，在某些固定$ d $的$γ_0（d）\ backslash \ mathbb h $上建立了二面maass形式的加权量子方差。正如物理文献所预测的那样，所得的二次形式与$γ_0（d）\ backslash \ mathbb h $上的地理流量的经典方差有关，但也包括对数量字段$ \ mathbb q（\ sqrt q（\ sqrt）的基本算法的敏感因素。
We establish an asymptotic formula for the weighted quantum variance of dihedral Maass forms on $Γ_0(D) \backslash \mathbb H$ in the large eigenvalue limit, for certain fixed $D$. As predicted in the physics literature, the resulting quadratic form is related to the classical variance of the geodesic flow on $Γ_0(D) \backslash \mathbb H$, but also includes factors that are sensitive to underlying arithmetic of the number field $\mathbb Q(\sqrt{D})$.
