On Eisenstein series of \(GL_ n\) (Q1343632)

Since the results are very technical it is difficult to state them here explicitly and so we quote from the author's introduction: ``In this paper we present a new method of obtaining an analytic continuation and explicit functional equation for an Eisenstein series attached to any standard maximal parabolic subgroup of \(GL_ n\). One main idea of this work is that if we assume that there are at least two infinite places then we can introduce suitable Schwartz-Bruhat functions at infinity places which enable us to apply the usual Poisson summation formula. This method yields a very symmetric looking functional equation of our Eisenstein series attached to any standard maximal parabolic subgroup of \(GL_ n\). Aside from the above main idea this article is mostly computational in the spirit of Tate's thesis''.