I'm looking for some published results, either empirical or theoretical, on the number of solutions to random 3-SAT problems.  Given $N$ variables and a clause-to-variable ratio $\alpha$, how does the number of solutions to 3-SAT scale vs. $N$ and $\alpha$?  What is the distribution of the number of solutions? Thanks!
Results on number of solutions to random 3-SAT?
reference request;satisfiability;3 sat