THE MULTIPLICATIVE ARITHMETIC OR SIEGEL MODULAR FORMS
THE MULTIPLICATIVE ARITHMETIC OR SIEGEL MODULAR FORMS
复制标题
DOI：
10.1070/rm1979v034n01abeh002872
复制
发表时间：
1979-02
影响因子：
0.9
通讯作者：
A. Andrianov
中科院分区：
文献类型：
--
作者：
A. Andrianov
CONTENTSIntroductionChapter 1。Hecke响了1.1。定义和一般属性？？Hecke rings of the groups and Chapter 2。Hecke多项式的分解Frobenius元素的中心化器？2.2。Frobenius元素的负能量？？2.3。Hecke多项式的分解多项式的分解。第三章的对称分解。Hecke环的表示？西格尔模形式？？Hecke算子？？3.3。Hecke算子和Siegel算子？第4章算子多项式。Hecke算子对级数的作用？4.2级数? ?。Hecke环的theta表示？？Hecke算子对级数的作用？？级数空间上Hecke算子的特征值。泛型级数的不变性与西格尔定理。西格尔模形式的变换的欧拉分解。变换的欧拉分解关于函数的解析性质[j]
CONTENTSIntroductionChapter 1. Hecke rings ??1.1. Definitions and general properties ??1.2. Hecke rings of the groups and Chapter 2. Decompositions of Hecke polynomials ??2.1. Centralizers of Frobenius elements ??2.2. Negative powers of Frobenius elements ??2.3. Decompositions of Hecke polynomials ??2.4. Decompositions of the polynomial ??2.5. A symmetric decomposition of Chapter 3. Representations of Hecke rings ??3.1. Siegel modular forms ??3.2. Hecke operators ??3.3. Hecke operators and the Siegel operator ??3.4. The operator polynomial Chapter 4. The action of Hecke operators on theta-series ??4.1. Theta-series ??4.2. Theta-representations of Hecke rings ??4.3. The action of Hecke operators on theta-series ??4.4. Eigenvalues of Hecke operators on spaces of theta-series ??4.5. Invariance of the generic theta-series and Siegel's theorem Chapter 5. The Euler decomposition of theta-transformations of Siegel modular forms ??5.1. The Euler decomposition of theta-transformations ??5.2. On analytic properties of zeta-functionsReferences