The value of the global intertwining operators on spherical vectors
arXiv:1709.09107
Abstract
Let F be a global field, G an unramified quasi-split reductive group over F and chi an everywhere unramified automorphic character of a maximal maximally split torus of G. Using Langlands-Shahidi theory, we compute the meromorphic function defined by the action of a global standard intertwining operator associated to chi on a spherical vector and show that the ratio of its poles in the positive Weyl chamber is well behaved.
11 pages; minor changes in the revised version including a shortening of the title; two footnotes and a remark on Langlands-Shahidi theory added