In almost every work on fuzzy sets, the existence of membership functions taking part in the considered model is assumed and it is not studied in depth whether or not such functions exist. On the other hand, generally the relationship between a certain studied characteristic and its referential set
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
No coin nor oath required. For personal study only.
✦ 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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