Five-variable p-adic L-functions for U(3)×U(2)

Abstract

We construct a five-variable p-adic L-function attached to Hida families on the definite unitary groups $U\left(3\right)$ and $U\left(2\right)$ by using the Ichino-Ikeda formula. The interpolation formula fits into the conjectural shape of p-adic L-functions predicted by Coates and Perrin-Riou.