  In this paper we discuss generalized Riesz products bringing into
consideration $H^p$ theory, the notion of Mahler measure, and the zeros of
polynomials appearing in the generalized Riesz product. Formula for
Radon-Nikodym derivative between two generalized Riesz product is established
under suitable conditions. This is then used to formulate a Dichotomy theorem
and prove a conditional version of it. A discussion involving flat polynomials
is given.
