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A new tower of Rankin-Selberg integrals

Author(s): David Ginzburg; Joseph Hundley
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 56-62.
MSC (2000): Primary 32N10
Posted: May 16, 2006
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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 $ E_6,$ and find out which $ L$-functions they represent. The heuristics also predict the existence of a fourth integral.

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Additional Information:

David Ginzburg
Affiliation: School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel
Email: ginzburg@post.tau.ac.il

Joseph Hundley
Affiliation: Mathematics Department, Penn State University, University Park, PA 16802
Email: hundley@math.psu.edu

DOI: 10.1090/S1079-6762-06-00160-0
PII: S 1079-6762(06)00160-0
Received by editor(s): October 12, 2005
Posted: May 16, 2006
Communicated by: Barry Mazur
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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