TY - JOUR
T1 - A new tower of rankin-selberg integrals
AU - Ginzburg, David
AU - Hundley, Joseph
PY - 2006/5/16
Y1 - 2006/5/16
N2 - 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 E6, and find out which L-functions they represent. The heuristics also predict the existence of a fourth integral.
AB - 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 E6, and find out which L-functions they represent. The heuristics also predict the existence of a fourth integral.
UR - http://www.scopus.com/inward/record.url?scp=33845255072&partnerID=8YFLogxK
U2 - 10.1090/S1079-6762-06-00160-0
DO - 10.1090/S1079-6762-06-00160-0
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AN - SCOPUS:33845255072
SN - 1079-6762
VL - 12
SP - 56
EP - 62
JO - Electronic Research Announcements of the American Mathematical Society
JF - Electronic Research Announcements of the American Mathematical Society
IS - 8
ER -