A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts

作者：Corbett Andrew J^*

来源：Forum Mathematicum, 2017, 29(1): 59-90.

DOI：10.1515/forum-2015-0164

• Automorphic period integrals
• special values of L-functions
• the refined Gan-Gross-Prasad conjecture

We prove a precise formula relating the Bessel period of certain automorphic forms on GSp(4) (A(F)) to a central L-value. This is a special case of the refined Gan-Gross-Prasad conjecture for the groups (SO5, SO2) as set out by Ichino-Ikeda [12] and Liu [14]. This conjecture is deep and hard to prove in full generality; in this paper we succeed in proving the conjecture for forms lifted, via automorphic induction, from GL(2) (A(E)) where E is a quadratic extension of F. The case where E = F x F has been previously dealt with by Liu [14].

• 出版日期2017-1