The formal degree of the discrete series representations ofGLm(D)

Let F be a non-Archimedean local field, and let A be a central simple F-algebra. In the present paper, based on the Bushnell–Kutzko theory of types for A × , which has recently been developed by Secherre and Stevens, we derive an explicit formula for the formal degree of an irreducible discrete series representation of the multiplicative group A × .