Refined global Gan–Gross–Prasad conjecture for Bessel periods
Name
Liu-Refined global Gan-G.pdf
Size
706.74 KB
Format
Adobe PDF
Checksum (MD5)
a381995fcfc0c7022cd8156746cfb821
Author(s)
Liu, Yifeng
Date Issued
April 2014
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1515/crelle-2014-0016
