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

4 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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title = "Linear intertwining periods and epsilon dichotomy for linear models",

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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AU - Xue, Hang

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023.

PY - 2024/4

Y1 - 2024/4

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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UR - https://www.scopus.com/pages/publications/85152126704#tab=citedBy

U2 - 10.1007/s00208-023-02615-9

DO - 10.1007/s00208-023-02615-9

M3 - Article

AN - SCOPUS:85152126704

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EP - 3626

JO - Mathematische Annalen

JF - Mathematische Annalen

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Linear intertwining periods and epsilon dichotomy for linear models

Abstract

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