论文标题
二面体重的派生的Hecke代数一形式
The derived Hecke algebra for dihedral weight one forms
论文作者
论文摘要
我们研究了派生的Hecke代数在二面体重量一种形式的环境中的作用，并证明了第二名和第四名作者的猜想，这些作者将这种动作与与对称的正方形L功能相关的某些Stark单位有关。该证明利用了各种Hecke模块之间的theta对应关系，以及Merel和Lecouturier对高等Eisenstein元素的想法。
We study the action of the derived Hecke algebra in the setting of dihedral weight one forms, and prove a conjecture of the second- and fourth- named authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as ideas of Merel and Lecouturier on higher Eisenstein elements.
