a1 Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, USA (firstname.lastname@example.org)
a2 Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan (email@example.com)
We prove an explicit formula for periods of certain automorphic forms on SO5 × SO4 along the diagonal subgroup SO4 in terms of L-values. Our formula also involves a quantity from the theory of endoscopy, as predicted by the refined Gross–Prasad conjecture.
(Received May 04 2009)
(Revised February 28 2010)
(Accepted March 01 2010)
(Online publication August 05 2010)
AMS 2010 Mathematics subject classification