Three-loop QCD corrections to the vector current correlator are consid
ered. The large momentum procedure is applied in order to evaluate mas
s corrections up to order (m(2)/q(2))(6). The inclusion of the first s
even terms to the ratio R = sigma(e(+)e(-) --> hadrons)/sigma(e(+)e(-)
--> mu(+)mu(-)) leads to reliable predictions from the high-energy re
gion down to relatively close to threshold. (C) 1997 Elsevier Science
B.V. PACS: 12.38.-t; 12.38.Bx; 13.65.+i; 13.85.Lg.