论文标题
Venkatesh的Converse Therorem延伸到Selberg类
An extension of Venkatesh's converse theorem to the Selberg class
论文作者
论文摘要
我们将Venkatesh的匡威定理证明经典的全态模块化形式到任意水平和特征。通过Petersson Trace Formula的证明方法使我们能够治疗Selberg类类型的任意程度2伽马因子。
We extend Venkatesh's proof of the converse theorem for classical holomorphic modular forms to arbitrary level and character. The method of proof, via the Petersson trace formula, allows us to treat arbitrary degree 2 gamma factors of Selberg class type.
