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In this paper we establish a new case of Langlands functoriality. Moreprecisely, we prove that the tensor product of the compatible system of Galoisrepresentations attached to a level-1 classical modular form and the compatiblesystem attached to an n-dimensional RACP automorphic representation of GL_n ofthe adeles of Q is automorphic, for any positive integer n, under some naturalhypotheses (namely regularity and irreducibility), and a mild restriction onthe level of the n-dimensional representation.

Automorphy of $\mathrm{GL}_2\otimes \mathrm{GL}_n$ in the self-dual case