Results 201 to 210 of about 3,220 (237)

Linear Forms in Logarithms of Rational Numbers

2008
The history of the theory of linear forms in logarithms is well known. We shall briefly sketch only some of the moments connected with new technical progress and important for our article. This theory was originated by pioneer works of A.O. Gelfond (see, for example, [5, 6]); with the help of the ideas which arose in connection with the solution of 7 ...
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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

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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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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Linear forms in the logarithms of algebraic numbers

1993
This 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, 2008
We 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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Linear forms in logarithms

2022
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The broadening scope of oral mucositis and oral ulcerative mucosal toxicities of anticancer therapies

Ca-A Cancer Journal for Clinicians, 2022
Sharon Elad, Noam Yarom, Yehuda Zadik
exaly  

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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Onconephrology: The intersections between the kidney and cancer

Ca-A Cancer Journal for Clinicians, 2021
, Kenar D Jhaveri, Mark A Perazella
exaly