On extending the Langlands-Shahidi method to non-generic cusp forms

One approach to Langlands's functoriality principle has been to examine analytic properties of Eisenstein series -- and their local analogs, induced representations -- under naturally arising intertwining operators. This approach, known as the Langlands-Shahidi method, is crucial in proofs of the functoriality principle in several cases which have been completed in recent years. As this method only applies to generic forms (those with Whittaker models) one is led to ask if the technique has an extension to non-generic forms. We will survey the Langlands-Shahidi method mostly in the context of its "crude functional equation" in one example, and discuss some joint work in progress with Solomon Friedberg to extend these results to certain non-generic forms.