On the Holomorphy of Certain Dirichlet Series

On the Holomorphy of Certain Dirichlet Series
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DOI:
10.1112/plms/s3-31.1.79
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发表时间:
1975-07
影响因子:
1.8
通讯作者:
G. Shimura
G. Shimura
中科院分区:
数学1区
文献类型:
--
作者:
G. Shimura

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设f(z)是权w的尖点形式,满足f((az+ B)/(cz+ d))= X(d)(cz+ dy* f(z),其中w和M是正整数,是模M的Dirichlet特征标,并且
Let/(z) be a cusp form of weight w satisfying f ((az+ b)/(cz+ d))= X (d)(cz+ dy* f (z) for all ("* J e T0 (M), where w and M are positive integers,^ is a Dirichlet character modulo M, and