A new tower of Rankin-Selberg integrals

被引：2
|
作者：
Ginzburg, D [1 ]
Hundley, J
机构：
[1] Tel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 12卷
关键词：
D O I：
10.1090/S1079-6762-06-00160-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：56 / 62
页数：7
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