Title: An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry,
Abstract: We give an integral formula for the total $Q^\prime$-curvature of a
three-dimensional CR manifold with positive CR Yamabe constant and nonnegative
Paneitz operator. Our derivation includes a relationship between the Green's
functions of the CR Laplacian and the $P^\prime$-operator.