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A Siegel–Weil Identity for G2 and Poles of L-Functions

✍ Scribed by David Ginzburg; Dihua Jiang


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
279 KB
Volume
82
Category
Article
ISSN
0022-314X

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✦ Synopsis


Relations among endoscopy liftings of automorphic forms, poles of L-functions, and nonvanishing of certain periods of automorphic forms have long been expected, although they have not been formulated, even conjecturally. We take a first step toward considering the relations by formulating our conjectures for certain types of endoscopy liftings, which generalizes a theorem of Ginzburg et al. (1997, J. Reine Angew. Math. 487, 85 114) (n=2 case). By establishing the Siegel Weil type identity for Eisenstein series of G 2 , we verify a portion of our conjecture for n=3, among some other results.


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