On the linear independence measure of logarithms of rational numbers

Wu, Qiang

doi:10.1090/S0025-5718-02-01442-4

On the linear independence measure of logarithms of rational numbers
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Math. Comp. 72 (2003), 901-911 Request permission

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

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