Abstract
We recall the notion of a tower of Rankin-Selberg integrals, and two known towers, making observations of how the integrals within a tower may be related to one another via formal manipulations, and offering a heuristic for how the L L -functions should be related to one another when the integrals are related in this way. We then describe three new integrals in a tower on the group E 6 , E_6, and find out which L L -functions they represent. The heuristics also predict the existence of a fourth integral.
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