An extension of Venkatesh's converse theorem to the Selberg class

被引：0
|
作者：
Booker, Andrew R. [1 ]
Farmer, Michael [1 ]
Lee, Min [1 ]
机构：
[1] Univ Bristol, Sch Math, Woodland Rd, Bristol BS8 1UG, England
来源：
FORUM OF MATHEMATICS SIGMA | 2023年 / 11卷
关键词：
D O I：
10.1017/fms.2023.22
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：10
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