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On the linear independence measure of logarithms of rational numbers

Author(s): Qiang Wu.
Journal: Math. Comp. 72 (2003), 901-911.
MSC (2000): Primary 11J82, 11J86
Posted: June 25, 2002
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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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Additional Information:

Qiang Wu
Affiliation: Département de Mathématique, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 1, France
Email: wu@poncelet.univ-metz.fr

DOI: 10.1090/S0025-5718-02-01442-4
PII: S 0025-5718(02)01442-4
Received by editor(s): April 17, 2001
Received by editor(s) in revised form: September 5, 2001
Posted: June 25, 2002
Copyright of article: Copyright 2002, American Mathematical Society

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