Critical values of L-functions for GL3 x GL1 and symmetric square L-functions for GL2 over a CM field

In article [14], an algebraicity result, an extension of Mahnkopf's result [10], for the critical values of L-functions for GL(3) x GL(1) over a totally real number field was proved. In this paper, we again prove an extension of Mahnkopf [101, for all the critical values of certain Rankin Selberg L-functions attached to a pair of algebraic automorphic representations on GL(3) x GL(1) over a CM field, having cohomology with a general coefficient system. (C) 2019 Elsevier Inc. All rights reserved.