Non-equilibrium corrections to, the spectra of massless neutrinos in the early universe

We repeat our previous calculation of the spectrum distortion of massless neutrinos in the early universe with a considerably better accuracy and corrected for a missing numerical factor in one of the two ways of calculations presented in our paper [Nucl. Phys. B 503 (1997) 426], Now both ways of calculations are in perfect agreement and we essentially reproduce our old results presented in the abstract of the paper and used in the calculations of light element abundances, We disagree with the criticism of our calculations presented in astro-ph/9712199 by N.Y. Gnedin and O.Y, Gnedin. (C) 1999 Elsevier Science B.V.