The Coulomb corrections to the cross section of e+e− pair production in
ultrarelativistic nuclear collisions are calculated in the next-to-leading
approximation with respect to the parameter L=lnγAγB
(γA,B are the Lorentz factors of colliding nuclei). We found
considerable reduction of the Coulomb corrections even for large
γAγB due to the suppression of the production of e+e− pair
with the total energy of the order of a few electron masses in the rest frame
of one of the nuclei. Our result explains why the deviation from the Born
result were not observed in the experiment at SPS.Comment: 4 pages, RevTe