Refined global Gan–Gross–Prasad conjecture for Bessel periods
We formulate a refined version of the global Gan–Gross–Prasad conjecture for general Bessel models, extending the work of Ichino–Ikeda and R. N. Harris in the co-rank 1 case. It is an explicit formula relating the automorphic period of Bessel type and the central value of certain L-function. To supp...
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Format: | Article |
Language: | en_US |
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Walter de Gruyter
2018
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Online Access: | http://hdl.handle.net/1721.1/114508 https://orcid.org/0000-0002-5871-1409 |
Summary: | We formulate a refined version of the global Gan–Gross–Prasad conjecture for general Bessel models, extending the work of Ichino–Ikeda and R. N. Harris in the co-rank 1 case. It is an explicit formula relating the automorphic period of Bessel type and the central value of certain L-function. To support such conjecture, we provide two examples for pairs SO₅×SO₂ and SO₆×SO₃ (both co-rank 3) in the endoscopic case via theta lifting. |
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