论文标题
Eisenstein系列的傅立叶系数是二进制遗传学形式的Zeta功能
Eisenstein series whose Fourier coefficients are zeta functions of binary Hermitian forms
论文作者
论文摘要
在本文中,我们研究了Ueno的结果,该结果涉及与Elstrodt等人先前研究的二元遗传学形式相关的生成序列的模块化。我们通过表明生成系列是Eisenstein系列来改善他的结果。结果,我们获得了与二进制Hermitian形式相关的Zeta函数特殊值的明确公式。
In this paper we investigate a result of Ueno on the modularity of generating series associated to the zeta functions of binary Hermitian forms previously studied by Elstrodt et al. We improve his result by showing that the generating series are Eisenstein series. As a consequence we obtain an explicit formula for the special values of zeta functions associated with binary Hermitian forms.