On the Generating Function of a Canonical Basis for M ! , ∞ 0 (Γ)

On the Generating Function of a Canonical Basis for M ! , ∞ 0 (Γ)
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发表时间:
2019
影响因子:
1.5
通讯作者:
Dongxi Ye
Dongxi Ye
中科院分区:
工程技术4区
文献类型:
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作者:
Dongxi Ye

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.本文利用自守绿色函数证明了第一类亏格为零的Fuchsian子群的极点支撑在尖点i ∞的弱全纯模函数空间的标准基的母函数具有一个权为2的亚纯模形式表示.
. In this note, we use automorphic Green functions to show that the generating function of a canonical basis for the space of weakly holomorphic modular functions with poles supported at the cusp i ∞ for a Fuchsian subgroup of the first kind of genus zero has a weight 2 meromorphic modular form representation.