论文标题

上半平面上的自态形式和全体形态功能

Automorphic Forms and Holomorphic Functions on the Upper Half-plane

论文作者

Alam, Md. Shafiul

论文摘要

我们根据商的riemann表面的hauptModul来定义一组全态函数,并证明这些功能在上半平面上是霍明型。还表明,相对于紫红色组,这些功能是重量K的自态形式。

We define a set of holomorphic functions in terms of the Hauptmodul of a quotient Riemann surface and prove that these functions are holomorphic on the upper half-plane. It is also shown that these functions are automorphic forms of weight k with respect to a Fuchsian group.

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