Abstract

The exterior square L-function attached to an automorphic cuspidal representation of GL_2n has a pole if and only if a certain period integral does not vanish on the space of the representation. We conjecture, in the “if” direction, a similar result is true for representations of GL₂(D), where D is a division algebra. We prove a partial result which provides evidence for the conjecture. The proof is based on a relative trace formula.

Keywords

exterior square L-function, trace formula

Mathematical Subject Classification

Primary: 11F67

Secondary: 11F70, 11F72

Milestones

Received: 20 November 2006
Accepted: 8 May 2007

Authors