Reply to "Comment on 'Algebraic perturbation theory for polar fluids: A model for the dielectric constant' "

In their Comment [Phys. Rev. E 62, 8842 (2000)] Szalai et al. use the "Fourier-transform-convolution method" to correct the two three-body integrals entering our algebraic perturbation theory for polar fluids [Phys. Rev. E 59, 5085 (1999)]. We present an alternative analytical calculation of these integrals that is more transparent than that of Szalai et al. Compared with the original expression for the dielectric constant [Phys. Rev. E 59, 5085 (1999)] the corrected one demonstrates a better agreement with the simulation data for low and moderate values of the coupling constant.