L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
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附加到 n 次雅可比形式的 L 函数。
DOI：
10.1515/crll.1989.401.122
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
A. Murase
中科院分区：
文献类型：
--
作者：
A. Murase
设F是n次Siegel模形式，则F是Gn = Spn上的自守形式。如果F是Hecke算子下的尖点公共本征形，我们可以将对应于L-群G° = SO（2n +1，C）的标准表示的标准zeta函数L（s，F）附加到F上。它的解析延拓和函数方程首先由Andrianov和Kalinin [1]研究，并由Böcherer [4]以及Piatetski-Shapiro和Rallis [17]独立建立。
Let F be a Siegel modular form of degree n; thus F is an automorphic form on Gn = Spn. If F is a cuspidal common eigenform under the Hecke operators, we can attach to F the Standard zeta function L (s, F) corresponding to the Standard representation of the L-group G° = SO(2n +l, C). Its analytic continuation and functional equation were first studied by Andrianov and Kalinin [1] and completely established by Böcherer [4] and, independently, by Piatetski-Shapiro and Rallis [17].