论文标题
将siegel pusp形式与siegel-maaß形式相关
Relating Siegel cusp forms to Siegel-Maaß forms
论文作者
论文摘要
在本文中，我们概括了尖端的重量$ k $之间的一种众所周知的同构，用于第一类的fuchsian子组$γ\ subset \ subset \ subset \ slrm {sl} _ {2}（\ m m mathbb {r}）$和某些Maaß$ k $ for assom of somorph的空间的空间子组$γ\ subset \ mathrm {sp} _ {n}（\ mathbb {r}）$的$ k $，它与Siegel模块组$ \ Mathrm {sp} _ {n} _ {n}（n}（N}（\ MathBb {z}）$ siegel-ma的$ ka的$ ka的$ ka的$ ka的$ ka的$ ka的$ ka的$ kaus是$ ka的$。
In this paper we generalize a well-known isomorphism between the space of cusp forms of weight $k$ for a Fuchsian subgroup of the first kind $Γ\subset\mathrm{SL}_{2}(\mathbb{R})$ and the space of certain Maaß forms of weight $k$ for $Γ$ to an isomorphism between the space of Siegel cusp forms of weight $k$ for a subgroup $Γ\subset\mathrm{Sp}_{n}(\mathbb{R})$, which is commensurable with the Siegel modular group $\mathrm{Sp}_{n}(\mathbb{Z})$, and a suitable space of Siegel-Maaß forms of weight $k$ for $Γ$.
