Values of dirichlet series at integers in the critical strip
Values of dirichlet series at integers in the critical strip
复制标题
临界带中整数处的狄利克雷级数值
DOI：
10.1007/bfb0065294
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
M. Razar
中科院分区：
文献类型：
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作者：
M. Razar
Michael J. Razar§ 1.引言本说明主要是总结最近的一些工作的价值观在整数点的临界带Dirichlet级数相关的newforms（N）。第一个这样的结果似乎是由于Shimura [9]，他对与全模群的权12的尖点形式相关联的Dirichlet级数Z n= l导出了它们。后来，Manin [4]将这些结果推广到全模群的任意积分权的尖点形式。在此期间，伯奇为r（N）o上的权为2的尖点形式引入了”模符号”，Manin研究并使用了这些符号
Michael J. Razar§ l. Introduction This note is primarily a summary of some recent work on the values at integer points in the critical strip of Dirichlet series associated to newforms on(N). The first such results seem to be due to Shimura [9J, who derived them for the Dirichlet series Z n= l associated to the cusp form of weight 12 for the full modular group. Somewhat later, Manin [4J extended these results to cusp forms of arbitrary integral weight for the full modular group. In the interim, Birch had introduced the" modular symbol" for cusp forms of weight two on r (N) o and these were studied and used by Manin