Results 11 to 20 of about 118,710,551 (267)
A p-adic lower bound for a linear form in logarithms [PDF]
International Journal of Number Theory, 2022 Linear forms in logarithms have an important role in the theory of Diophantine equations. In this paper, we prove explicit [Formula: see text]-adic lower bounds for linear forms in [Formula: see text]-adic logarithms of rational numbers using Padé approximations of the second kind.
Seppälä Louna, Palojärvi Neea
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Linear forms in logarithms and exponential Diophantine equations [PDF]
Hardy-Ramanujan Journal, 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. Secondly how this theory is the culmination of a series of greater and smaller discoveries.
Rob Tijdeman, Tijdeman, Rob
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A kit for linear forms in three logarithms
Mathematics of Computation, 2023 We provide a technique to obtain explicit bounds for problems that can be reduced to linear forms in three complex logarithms of algebraic numbers. This technique can produce bounds significantly better than general results on lower bounds for linear forms in logarithms.
Maurice Mignotte, Paul Voutier
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Resummation of Super-Leading Logarithms [PDF]
, 2021 Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called nonglobal logarithms emerge from soft radiation emitted off energetic partons inside jets. While this is
Becher, Thomas +5 more
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Diophantine Equation in Logarithms [PDF]
, 2023 The main work of these pages is written by myself under the supervisor of Dr. Omar Kihel, pertaining to continued fractions and applications , linear form in logarithms and the solutions of Diophantine equation Fn1 + Fn2 + Fn3 + Fn4 = 6a .
Tian, Zhao
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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
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Linear forms in two logarithms and Schneider's method. II [PDF]
Acta Arithmetica, 1989 Verf. verfeinern ihre in [Acta Arith. 53, No.3, 251-287 (1989; Zbl 0642.10034)] erhaltene untere Abschätzung für \(| b_ 1 \log \alpha_ 1-b_ 2 \log \alpha_ 2| \neq 0\) bei algebraischen \(\alpha_ j\neq 0\) und ganzrationalen \(b_ j\). Dazu kombinieren sie ihre a.a.O. entwickelte Methode mit einer Technik, die sie bereits in [Math. Ann.
Mignotte, Maurice, Waldschmidt, Michel
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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 +3 more
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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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Larger Corner-Free Sets from Better NOF Exactly-$N$ Protocols
Discrete Analysis, 2021 Larger corner-free sets from better NOF exactly-$N$ protocols, Discrete Analysis 2021:19, 9 pp. If $G$ is an Abelian group, then a _corner_ in $G^2$ is a subset of the form $\{(x,y),(x+d,y),(x,y+d)\}$ with $d\ne 0$.
Nati Linial, Adi Shraibman
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