Functoriality for the exterior square of ₄ and the symmetric fourth of ₂

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Generic Transfer for General Spin Groups (2004, background): “ up this issue, which will have important consequences, in our future work. 7.3. Exterior square transfer. In this section we show that exterior square generic transfer from GL4 to GL6 due to H. Kim ([20]) can be deduced as a special case of our main result. However, note that in this article we are”
Level-raising and symmetric power functoriality, I (2014, background): “This conjecture is known to be true with K = ∅ if n = 2, 3 or 4 (see the papers [GJ78], [KS02] and [Kim03], respectively).”
Sieving for mass equidistribution (2008, methodology): “s/ > 1 is known for m 6 8 by the works of [KS00] and [Kim03].”
Symmetric power functoriality for holomorphic modular forms (2019, methodology): “In this case the automorphy of Symm π was proved for m = 2 by Gelbart and Jacquet [GJ78] and for m = 3, 4 by Kim and Shahidi [KS02, Kim03].”