Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let $\Phi$ be a random $k$-SAT formula in which every variable occurs precisely $d$ times positively and $d$ times negatively. Assuming that $k$ is sufficiently large and that $d$ is slightly below the critical degree where the formula becomes unsatisfiable with high probability,  determine the limiting distribution of the logarithm of the number of satisfying assignments.
['Amin Coja-Oghlan', 'Nicholas C. Wormald']
I am writing a research paper on a idea The number of satisfying assignments of random regular k-SAT formulas
[{"from": "human", "value": "I am writing a research paper on a idea The number of satisfying assignments of random regular k-SAT formulas"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let $\\Phi$ be a random $k$-SAT formula in which every variable occurs precisely $d$ times positively and $d$ times negatively. Assuming that $k$ is sufficiently large and that $d$ is slightly below the critical degree where the formula becomes unsatisfiable with high probability,  determine the limiting distribution of the logarithm of the number of satisfying assignments."}]