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On the images and poles of degenerate Eisenstein series for ${\rm GL}(n,\Bbb{A}_{\Bbb{Q}})$ and ${\rm GL}(n,\Bbb{R})$
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 137, Number 4, August 2015
- pp. 907-951
- 10.1353/ajm.2015.0029
- Article
- Additional Information
In this paper we determine poles in the right-half plane and images of degenerate Eisenstein series
for ${\rm GL}_n(\Bbb{A}_{\Bbb{Q}})$ induced from a character on a maximal parabolic subgroup. We apply
those results to determine poles of degenerate Eisenstein series for ${\rm GL}_n(\Bbb{R})$.