A remark on the fundamental lemma of Jacquet

We conjecture a generalization of the fundamental lemma of Jacquet in the context of ${\mathit{GL}}_n$ over a quadratic extension. We provide a heuristic argument for our expectation and prove our conjecture for ${\mathit{GL}}_2$. To cite this article: O. Offen, C. R. Acad. Sci. Paris, Ser. I 342 (2006).