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A New Tower of Rankin-Selberg Integrals

2005/12/05 by David Ginzburg, Joseph Hundley, Ginzburg, David +1
Mathematics · #32N10 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #advanced mathematical theories #math.NT #math.RT #msc:32N10

paper · pdf · doi:10.48550/arxiv.math/0512093

9 pages, LaTeX

arxiv created 2005/12/05 · openalex publication_date 2005/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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