A proof of the refined Gan–Gross–Prasad conjecture for non-endoscopic Yoshida lifts
A proof of the refined Gan–Gross–Prasad conjecture for non-endoscopic Yoshida lifts
Abstract We prove a precise formula relating the Bessel period of certain automorphic forms on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msub> <m:mi>GSp</m:mi> <m:mn>4</m:mn> </m:msub> <m:mo></m:mo> <m:mrow> <m:mo>(</m:mo> <m:msub> <m:mi>𝔸</m:mi> <m:mi>F</m:mi> </m:msub> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> ${\mathrm{GSp}_{4}(\mathbb{A}_{F})}$ to a central L -value. This is a special case of the refined Gan–Gross–Prasad conjecture for …