Polynomial automorphic forms and nondiscontinuous groups
Polynomial automorphic forms and nondiscontinuous groups
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多项式自同构形式和非不连续群
DOI：
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发表时间：
1966
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通讯作者：
M. Knopp
中科院分区：
文献类型：
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作者：
M. Knopp
是关于f的自同构函数(自同构函数的通常定义是当z从一个角度内接近实轴的某些点时，对f(i)施加生长条件。下面给出的自同构形式的定义同样适用。从这里给出的结果的性质可以明显看出，这种生长条件在目前的情况下不起作用。)设r为实数。一个函数F (z)，在X上是亚纯的，在F上是一个维数为r的自同构形式，具有乘子系统v
is said to be an automorphic function with respect to F. (The usual definition of automorphic function imposes a growth condition on f(i) as z approaches certain points of the real axis from within an angle. The same remark is applicable in connection with the definition of automorphic form, given below. It will be apparent from the nature of the results given here that this growth condition plays no role in the present context.) Let r be a real number. A functionf(z), meromorphic in X, is said to be an automorphicform of dimension r on F, vith multiplier system v, provided