Betti-Whittaker periods of the contragredient representations for $\text{GL}(n)$

Abstract

We define Betti-Whittaker periods for a broad class of cohomological automorphic representations and establish a relation between the periods associated with these representations and their contragredients. This extends a result of Shih-Yu Chen for certain cuspidal automorphic representations.

Added a new subsection 4.1