On the Diophantine Approximations of logarithms in cyclotomic fields
  I present here the proofs of results, which are obtained in my papers "On the linear forms with algebraic coefficoients of logarithms of algebraic numbers",   VINITI, 1996, 1617-B96, pp. 1 - 23 (in Russian), and "On the systems of linear forms with algebraic coefficoients of logarithms of algebraic numbers",   VINITI, 1996, 2663-B96, pp. 1 - 18 (in Russian). 
L.A.Gutnik