A new tower of RankinSelberg integrals
Authors:
David Ginzburg and Joseph Hundley
Journal:
Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 5662
MSC (2000):
Primary 32N10
Published electronically:
May 16, 2006
MathSciNet review:
2226525
Fulltext PDF Free Access
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Abstract: We recall the notion of a tower of RankinSelberg 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, TelAviv University, TelAviv 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:
http://dx.doi.org/10.1090/S1079676206001600
PII:
S 10796762(06)001600
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.
