Algebro-geometric solutions of the Boussinesq hierarchy

We continue a recently developed systematic approach to the Bousinesq (Bsq) hierarchy and its algebro-geometric solutions. Our formalism includes a re cursive construction of Lax pairs and establishes associated Burchnall-Chau ndy curves, Baker-Akhiezer functions and Dubrovin-type equations for analog s of Dirichlet and Neumann divisors. The principal aim of this paper is a d etailed theta function representation of all algebro-geometric quasiperiodi c solutions and related quantities of the Bsq hierarchy.