On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)

Abstract

We compute the images of motivic cohomology classes for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2) under the syntomic regulator, and relate them to non-critical values of p-adic L-functions.