On the Local Converse Theorem for p-adic GLn

Herve Jacquet Columbia University Baiying Liu Purdue University

Number Theory Representation Theory mathscidoc:1803.24003

Best Paper Award in 2019

Amer. J. Math. , 2018
In this paper, we completely prove a standard conjecture on the local converse theorem for generic representations of GLn(F), where F is a non-archimedean local field.
Local Converse Theorem, Generic Representations.
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  title={On the Local Converse Theorem for p-adic GLn},
  author={Herve Jacquet, and Baiying Liu},
  booktitle={Amer. J. Math. },
Herve Jacquet, and Baiying Liu. On the Local Converse Theorem for p-adic GLn. 2018. In Amer. J. Math. . http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180302140251400557960.
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