Geodesic
A new tower of Rankin-Selberg integrals
Ginzburg, David1 ; Hundley, Joseph2
1 School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel
2 Mathematics Department, Penn State University, University Park, PA 16802
Electronic research announcements of the American Mathematical Society, Tome 12 (2006), pp. 56-62.

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S1079-6762-06-00160-0

Ginzburg, David 1 ; Hundley, Joseph 2

1 School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel
2 Mathematics Department, Penn State University, University Park, PA 16802 
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Ginzburg, David; Hundley, Joseph. A new tower of Rankin-Selberg integrals. Electronic research announcements of the American Mathematical Society, Tome 12 (2006), pp. 56-62. doi : 10.1090/S1079-6762-06-00160-0. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-06-00160-0/

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