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A new approach to Baker's theorem on linear forms in logarithms II
Lecture Notes in Mathematics, 1987exaly
IMPROVED ESTIMATE FOR A LINEAR FORM OF THE LOGARITHMS OF ALGEBRAIC NUMBERS
Mathematics of the USSR-Sbornik, 1968openaire +1 more source
Linear forms in elliptic logarithms
Journal of Number Theory, 1985 New lower bounds for linear forms in n (≥ 2) elliptic logarithms in the CM case are established. The estimate is better than all previous estimates with respect to some of the parameters that appear.
Kunrui Yu
exaly +4 more sources
Linear forms in two logarithms and interpolation determinants [PDF]
Acta Arithmetica, 1994 1. Introduction. Our aim is to test numerically the new method of interpolation determinants (cf. [2], [6]) in the context of linear forms in two logarithms. In the recent years, M. Mignotte and M.
Michel Laurent
exaly +4 more sources
Matrices whose coefficients are linear forms in logarithms
Journal of Number Theory, 1992 In this paper, we obtain a result which allows us to give a lower bound for the rank of the matrices whose coefficients are linear forms in logarithms.
Damien Roy
exaly +3 more sources
On the number of linear forms in logarithms
Journal of Number Theory, 2007 Let n be a positive integer. In this paper we estimate the size of the set of linear forms b1loga1+b2loga2+⋯+bnlogan, where |bi|⩽Bi and 1⩽ai⩽Ai are integers, as Ai,Bi→∞
Youness Lamzouri
exaly +4 more sources