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arXiv 2005-12-05 0 views

A New Tower of Rankin-Selberg Integrals

Ginzburg, David · Hundley, Joseph

Original · EN

This document describes the authors' current research project: the evaluation of a tower of Rankin-Selberg integrals on the group E₆. We recall the notion of a tower, and two known towers, making observations about how the integrals within a tower may be related to one another via formal manipulations, and offering a heuristic for how the L-functions should be related to one another when the integrals are related in this way. A detailed description of the E₆ tower is then given.

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