  Let E/F be a quadratic extension of p-adic fields. The local Langlands
correspondence establishes a bijection between n-dimensional Frobenius
semisimple representations of the Weil-Deligne group of E and smooth,
irreducible representations of GL(n,E). We reinterpret this bijection in the
setting of the Weil restriction of scalars Res(GL(n),E/F), and show that the
Asai L-function and epsilon factor on the analytic side match up with the
expected Artin L-function and epsilon factor on the Galois side. This paper is
based off of the author's forthcoming doctoral thesis.
