Refined global Gan–Gross–Prasad conjecture for Bessel periods
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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.
Date issued
2014-04Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Publisher
Walter de Gruyter
Citation
Liu, Yifeng. “Refined Global Gan–Gross–Prasad Conjecture for Bessel Periods.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2016, 717 (January 2016): 133-194 © 2016 De Gruyter
Version: Final published version
ISSN
0075-4102
1435-5345