  By Langlands and Deligne we know that the local constants are extendible
functions. Therefore, to give an explicit formula of the local constant of an
induced representation of a local Galois group of a non-Archimedean local field
$F$ of characteristic zero, we have to compute the lambda function
$\lambda_{K/F}$ for a finite extension $K/F$. In this paper, when a finite
extension $K/F$ is Galois, we give a formula for $\lambda_{K/F}$.
