A new tower of Rankin-Selberg integrals

Authors:
David Ginzburg and Joseph Hundley

Journal:
Electron. Res. Announc. Amer. Math. Soc. **12** (2006), 56-62

MSC (2000):
Primary 32N10

DOI:
https://doi.org/10.1090/S1079-6762-06-00160-0

Published electronically:
May 16, 2006

MathSciNet review:
2226525

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Abstract | References | Similar Articles | Additional Information

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 -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 and find out which -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:
https://doi.org/10.1090/S1079-6762-06-00160-0

Received by editor(s):
October 12, 2005

Published electronically:
May 16, 2006

Communicated by:
Barry Mazur

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.