与虚二次域相关的权为1的艾森斯坦级数（英文）  

Weight one Eisenstein series associated with imaginary quadratic fields

作　　者：沈力健 SHEN Li-chien(Department of Mathematics, University of Florida, Gainesville FL 32611-8105, USA)

机构地区：[1]佛罗里达大学数学系

出　　处：《华东师范大学学报（自然科学版）》2019年第2期7-20,共14页Journal of East China Normal University(Natural Science)

摘　　要：考虑了一类与虚二次域相关的权为1的艾森斯坦级数.与克罗内克符号相关的艾森斯坦级数的子空间由高斯亏格理论产生的二次型刻画.此外,我们给出了一系列与二次域相关的恒等式.We consider a family of weight one Eisenstein series associated with the imaginary quadratic fields. The subspace of the Eisenstein series associated with the Kronecker symbol is characterized by the quadratic forms generated from the genus theory of Gauss;we will derive a family of identities connected with these quadratic fields.

关 键 词：艾森斯坦级数 克罗内克符号 判别式 二次域 模形式 

分 类 号：O174[理学—数学]