Abstract
In this paper we give a general theorem on the linear independence measure of logarithms of rational numbers and, in particular, the linear independence measure of 1 , log 2 , log 3 , log 5 1,\log 2, \log 3, \log 5 and of 1 , log 2 , log 3 , log 5 , log 7 1,\log 2, \log 3, \log 5, \log 7 . We also give a method to search for polynomials of smallest norm on a real interval [ a , b ] [a,b] which may be suitable for computing or improving the linear independence measure of logarithms of rational numbers.
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