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Asymptotic formulae for linear functional forms in two logarithms
Russian Mathematical Surveys, 1983Translation from Usp. Mat. Nauk 38, No.1(229), 193-194 (Russian) (1983; Zbl 0533.30035).
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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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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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Linear forms in \(p\)-adic logarithms. III
1990Ce 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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Linear forms in the logarithms of algebraic numbers
1993This chapter is of an auxiliary nature, being mainly concerned with the relationship between bounds for linear forms in the logarithms of algebraic numbers in different (archimedean and non-archimedean) metrics. This material will later be used in the analysis of Thue and Thue-Mahler equations.
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The Hilbert polynomial and linear forms in the logarithms of algebraic numbers
Izvestiya: Mathematics, 2008We prove a new estimate for homogeneous linear forms with integer coefficients in the logarithms of algebraic numbers. We obtain a qualitative improvement of the estimate depending on the coefficients of the linear form and the best value of the constant in the estimate in the case when the number of logarithms is not too large.
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American Cancer Society nutrition and physical activity guideline for cancer survivors
Ca-A Cancer Journal for Clinicians, 2022Cheryl L Rock +2 more
exaly
An inequality for a linear form in the logarithms of algebraic numbers
Mathematical Notes of the Academy of Sciences of the USSR, 1969Let 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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Apical–basal polarity and the control of epithelial form and function
Nature Reviews Molecular Cell Biology, 2022Clare E Buckley, Daniel St Johnston
exaly

