A new tower of rankin-selberg integrals

David Ginzburg; Joseph Hundley

doi:10.1090/S1079-6762-06-00160-0

A new tower of rankin-selberg integrals

David Ginzburg
, Joseph Hundley

Mathematics

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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-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 E6, and find out which L-functions they represent. The heuristics also predict the existence of a fourth integral.

Original language	English
Pages (from-to)	56-62
Number of pages	7
Journal	Electronic Research Announcements in Mathematical Sciences
Volume	12
Issue number	8
DOIs	https://doi.org/10.1090/S1079-6762-06-00160-0
State	Published - May 16 2006

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A new tower of rankin-selberg integrals

Abstract

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