  In the following article, we give a description of the distingushed
irreducible principal series representations of the general linear group over a
p-adic field in terms of inducing datum. This provides a counter-example to a
conjecture of Jacquet about distinction (Conjecture 1 in U.K Anandavardhanan,
"Distinguished non-Archimedean representations ", Proc. Hyderabad Conference on
Algebra and Number Theory, 2005, 183-192).
