@article{66cae90c848c46019a51c4898e7708ca,
title = "Poles of L-functions and theta liftings for orthogonal groups",
abstract = "In this paper, we prove that the first occurrence of global theta liftings from any orthogonal group to either symplectic groups or metaplectic groups can be characterized completely in terms of the location of poles of certain Eisenstein series. This extends the work of Kudla and Rallis and the work of Moeglin to all orthogonal groups. As applications, we obtain results about basic structures of cuspidal automorphic representations and the domain of holomorphy of twisted standard L-functions.",
keywords = "Automorphic forms, L-functions, Orthogonal groups, Periods, Theta liftings",
author = "David Ginzburg and Dihua Jiang and David Soudry",
note = "Funding Information: Acknowledgements. The research of D. J. is supported in part by NSF grant DMS-0400414 and by NSF grant DMS-0653742 and also by the Chinese Academy of Sciences. All three authors are partially supported by the USA–Israel Binational Science Foundation.",
year = "2009",
month = oct,
doi = "10.1017/S1474748009000097",
language = "אנגלית",
volume = "8",
pages = "693--741",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "4",
}