The weak Asai transfer to GL(4) via the Langlands-Shahidi method

Muthukrishnan Krishnamurthy, Purdue University

Abstract

Let E/F be a quadratic extension of number fields. We study the functoriality of the Asai transfer of cusp forms on [special characters omitted] as automorphic forms on [special characters omitted]. This work proves the existence and uniqueness of the weak Asai transfer of a cusp form on [special characters omitted] to [special characters omitted]. We prove these results by applying the converse theorem of Cogdell-Piatetski-Shapiro to analytic properties of L-functions all obtained from the method of Langlands-Shahidi.

Degree

Ph.D.

Advisors

Shahidi, Purdue University.

Subject Area

Mathematics

Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server
.

Share

COinS