On the Connection of the Eigenvalues of Hecke Operators and the Fourier Coefficients of Eigenfunctions for Siegel's Modular Forms of Genus n
On the Connection of the Eigenvalues of Hecke Operators and the Fourier Coefficients of Eigenfunctions for Siegel's Modular Forms of Genus n
复制标题
论Hecke算子的特征值与Siegel的n属模形式的特征函数的傅立叶系数的联系
DOI：
10.1070/sm1975v025n04abeh002462
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发表时间：
1975
期刊：
影响因子：
--
通讯作者：
N. A. Žarkovskaja
中科院分区：
文献类型：
--
作者：
N. A. Žarkovskaja
设为亏格的Siegel模形式，它是Hecke环的-分支中所有算子的本征函数；特别地，。这篇论文考察了这一系列(不分)。证明了每个这样的级数都是有理函数，其中该函数的分子的次数不超过且分母与级数的分母重合。参考书目：6个标题。
Let be Siegel's modular form of genus which is an eigenfunction for all operators in the -component of a Hecke ring; in particular, . This paper examines the series ( does not divide ). It is proved that each such series is a rational function, where the degree of the numerator of this function does not exceed and the denominator coincides with the denominator of the series .Bibliography: 6 titles.