TY - JOUR
T1 - Refined global Gan-Gross-Prasad conjecture for Bessel periods
AU - Liu, Yifeng
N1 - Funding Information:
The author is partially supported by NSF grant DMS-1302000.
Publisher Copyright:
© 2016 De Gruyter.
PY - 2016/8
Y1 - 2016/8
N2 - 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.
AB - 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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U2 - 10.1515/crelle-2014-0016
DO - 10.1515/crelle-2014-0016
M3 - Article
AN - SCOPUS:84983462168
SN - 0075-4102
VL - 2016
SP - 133
EP - 194
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 717
ER -