201603.09287v2 Higher weight on GL(3), I - The Eisenstein series

The purpose of this paper is to collect and make explicit the results of Langlands, Bump, Miyazaki and Manabe, Ishii and Oda for the GL(3) Eisenstein series and Whittaker functions which are non-trivial on SO(3,R). The final goal for the series of papers is a complete and completely explicit spectral expansion for L2(SL(3,Z)∖SL(3,R)) in..