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Lower bounds for linear forms in logarithms [PDF]

, 1988
P. Philippon, M. Waldschmidt
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Linear Forms in Logarithms and Applications [PDF]

, 2018
International ...
Yann Bugeaud, Bugeaud, Yann
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On Baker's inequality for linear forms in logarithms

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
AbstractLet α1, …, αn an be non-zero algebraic numbers with degrees at most d and heights respectively Al, …, An (all Aj ≥ 4) and let b1, …, bn be rational integers with absolute values at most B (≥ 4). Denote by p a prime ideal of the field and suppose that p divides the rational prime p.
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Linear Forms in Logarithms

2014
I am dealing with basic definitions of crucial mathematical concepts in linear forms in logarithms and I introduce most important theorems and proofs during five lectures. Also, I introduce some Baker type inequalities available today which are easy to apply. In order to illustrate this very important machinery I introduce some examples.
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An inequality for a linear form in the logarithms of algebraic numbers

Mathematical Notes of the Academy of Sciences of the USSR, 1969
Let ln α1, ..., ln αm−1 be the logarithms of fixed algebraic numbers which are linearly independent over the field of rational numbers, b1, ..., bm−1 rational integers, δ > 0. A bound from below is deduced for the height of the algebraic number αm under the condition that ¦b1 ln α1+...+bm−1ln αm− ¦ < exp {−δH},H=max ¦ b k
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Linear forms in \(p\)-adic logarithms. III

1990
Ce texte établit des améliorations des minorations de formes linéaires, à coefficients rationnels, de logarithmes \(p\)-adiques de nombres algébriques, obtenues dans les articles précédents de la série [I, Acta. Arith. 53, 107-186 (1989; Zbl 0699.10050) and II, Compos. Math. 74, 15-113 (1990; Zbl 0723.11034)]. L'A.
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Asymptotic formulae for linear functional forms in two logarithms

Russian Mathematical Surveys, 1983
Translation from Usp. Mat. Nauk 38, No.1(229), 193-194 (Russian) (1983; Zbl 0533.30035).
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Linear forms in logarithms

2022
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A hypergeometric approach, via linear forms involving logarithms, to criteria for irrationality of Euler’s constant

Mathematica Slovaca, 2009
Jonathan Sondow
exaly  

ESTIMATE FOR A LINEAR FORM OF LOGARITHMS OF ALGEBRAIC NUMBERS

Mathematics of the USSR-Sbornik, 1968
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