Results 11 to 20 of about 119,522,595 (151)

A $p$-adic lower bound for a linear form in logarithms [PDF]

, 2022
Linear forms in logarithms have an important role in the theory of Diophantine equations. In this article, we prove explicit $p$-adic lower bounds for linear forms in $p$-adic logarithms of rational numbers using Pad\'e approximations of the second kind ...
Seppälä, Louna, Neea Palojärvi, Palojärvi, Neea, Louna Seppälä   +3 more
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Upper bound for the height of S-integral points on elliptic curves [PDF]

, 2013
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea, Bosser, Vincent, Andrea Surroca, Vincent Bosser   +3 more
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On the Non-negative Integer Solutions to Diophantine Equations $F_n - F_m = 7^a$ and $F_n - F_m = 13^a$ [PDF]

, 2023
In this paper, we study the solutions of the equation $F_n-F_m=p^a$ where $p$ is either $7$ or $13$ and $n>m\geqslant 0$, $a\geqslant 2$. We confirm the conjecture of Erduvan and Keskin by proving that there is no solutions for this Diophantine equation.
Soufiane, Mezroui, Anouar, Gaha
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Products of Factorials in Smarandache Type Expressions [PDF]

, 1997
The proof of Theorem 1 uses lower bounds for linear forms in logarithms of algebraiC numbers (see [1] and [7]) as well as an idea of Stewart (see [10])
Luca, Florian
core   +1 more source

Linear forms in logarithms and exponential Diophantine equations

, 2020
This paper aims to show two things. Firstly the importance of Alan Baker's work on linear forms in logarithms for the development of the theory of exponential Diophantine equations.
Rob Tijdeman, Tijdeman, Rob
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Linear forms in logarithms. [PDF]

, 2023
In this master thesis it is written about theorems, corollaries, theory of linear forms in logarithms and how the forms are usefully applied in number theory, especially Diophantine equations, mostly exponential.
Rasinskas, Mantas,
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On the practical solution of the Thue equation [PDF]

, 1989
This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation ...
Weger, de, B.M.M., B.M.M. de Weger, de Weger, B.M.M., N. Tzanakis, Tzanakis, N.   +4 more
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Tubular approaches to Baker’s method for curves and varieties

, 2020
International audienceBaker's method, relying on estimates on linear forms in logarithms of algebraic numbers, allows one to prove in several situations the effective finiteness of integral points on varieties.
Le Fourn, Samuel
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Transforming women's lives : Bobby Baker's performances of Daily Life [PDF]

, 2000
In an earlier issue of New Theatre Quarterly, NTQ55 (August 1998), Marcia Blumberg examined the setting of the kitchen in performances by Bobby Baker and Jeanne Goosen, arguing for the 'transitional and transgressive' possibilities of this domesticum ...
Aston, Elaine
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Solving superelliptic Diophantine equations by Baker's method

, 1998
Article dans revue scientifique avec comité de lecture.We describe a method for complete solution of the superelliptic Diophantine equation ay^p=f(x). The method is based on Baker's theory of linear forms in the logarithms.
Yuri F. Bilu, Hanrot, G., Bilu, Y., Guillaume Hanrot, BILU, Yuri, HANROT, Guillaume   +5 more
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