On the number of linear forms in logarithms Original Research Article

Let n be a positive integer. In this paper we estimate the size of the set of linear forms b1loga1+b2loga2+cdots, three dots, centered+bnlogan, where biless-than-or-equals, slantBi and 1less-than-or-equals, slantailess-than-or-equals, slantAi are integers, as Ai,Bi→∞.