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Modular Symbols associated to Rankin Selberg convolutions and the Symmetric Square

I'm interested in understanding how one may associate modular symbols to the L-functions and $p$-adic L-functions associated to the Rankin Selberg convolution of two modular forms/ elliptic curves and the symmetric square of a modular form/elliptic curves. Looking through the literature I see that the $\operatorname{GL}_{n-1}\times \operatorname{GL}_n$ case has been treated in general, for instance "Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields"-Januszewski and Relative modular symbols and p-adic Rankin-Selberg convolutions""-Schmidt.

Is there a reference for the theory of modular symbols in the $\operatorname{GL}_{2}\times \operatorname{GL}_2$ and $\operatorname{Sym}^2$ cases?

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