Linear intertwining periods and epsilon dichotomy for linear models

Miyu Suzuki; Hang Xue

doi:10.1007/s00208-023-02615-9

Linear intertwining periods and epsilon dichotomy for linear models

Miyu Suzuki, Hang Xue

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We develop a theory of linear intertwining periods in a special case, and use it to reduce a conjecture of Prasad and Takloo-Bighash on epsilon dichotomy to the supercuspidal case. Combined with the proved previous results, this proves the conjecture of Prasad and Takloo-Bighash under very mild assumptions.

Original language	English (US)
Pages (from-to)	3589-3626
Number of pages	38
Journal	Mathematische Annalen
Volume	388
Issue number	4
DOIs	https://doi.org/10.1007/s00208-023-02615-9
State	Published - Apr 2024

ASJC Scopus subject areas

General Mathematics

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abstract = "We develop a theory of linear intertwining periods in a special case, and use it to reduce a conjecture of Prasad and Takloo-Bighash on epsilon dichotomy to the supercuspidal case. Combined with the proved previous results, this proves the conjecture of Prasad and Takloo-Bighash under very mild assumptions.",

author = "Miyu Suzuki and Hang Xue",

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PY - 2024/4

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N2 - We develop a theory of linear intertwining periods in a special case, and use it to reduce a conjecture of Prasad and Takloo-Bighash on epsilon dichotomy to the supercuspidal case. Combined with the proved previous results, this proves the conjecture of Prasad and Takloo-Bighash under very mild assumptions.

AB - We develop a theory of linear intertwining periods in a special case, and use it to reduce a conjecture of Prasad and Takloo-Bighash on epsilon dichotomy to the supercuspidal case. Combined with the proved previous results, this proves the conjecture of Prasad and Takloo-Bighash under very mild assumptions.

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Linear intertwining periods and epsilon dichotomy for linear models

Abstract

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