Results 11 to 20 of about 7,365 (273)

A p-adic lower bound for a linear form in logarithms

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 two logarithms and interpolation determinants [PDF]

Acta Arithmetica, 1994
The author provides a precise lower bound for the absolute value of a linear combination of two logarithms of real algebraic numbers with integer coefficients. This lower bound is explicit and improves in the real case an earlier result of \textit{M. Mignotte} and \textit{M. Waldschmidt} [Ann. Fac. Sci. Toulouse Math.
Laurent, Michel
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Fibonacci Numbers with a Prescribed Block of Digits

Mathematics, 2020
In this paper, we prove that F 22 = 17711 is the largest Fibonacci number whose decimal expansion is of the form a b … b c … c . The proof uses lower bounds for linear forms in three logarithms of algebraic numbers and some tools from ...
Pavel Trojovský
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Linear forms in two logarithms and Schneider's method

Mathematische Annalen, 1978
Maurice Mignotte, Michel Waldschmidt, Mignotte Maurice   +2 more
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PRECIPITATION OF METAL HYDROXIDES FROM AQUEOUS SOLUTIONS AS A RESULT OF SPONTANEOUS CONDENSATION OF POLYNUCLEAR HYDROXOCOMPLEXES

KPI Science News, 2021
Background. Generally, it is assumed that the formation of a solid phase (precipitate) happens when the activities of the involved ions would exceed those defined by the thermodynamic solubility product.
Yuriy Andriyko, Aleksandr O. Andriiko
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About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation

Наука и техника, 2022
. Many important questions in the theory of elasticity lead to a variational problem associated with a biharmonic equation and to the corresponding boundary value problems for such an equation.
I. N. Meleshko, P. G. Lasy
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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 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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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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On repdigits as product of $k$-Fibonacci and $k$-Lucas numbers [PDF]

Mathematica Bohemica
For an integer $k\geq2$, let $(F_n^{(k)})_{n\geq-(k-2)}$, $(L_n^{(k)})_{n \geq-(k-2)}$ be $k$-Fibonacci and $k$-Lucas sequences, respectively. For these sequences the first $k$ terms are $0,\ldots,0,1$ and $0,\ldots,0,2,1$, respectively, and each term ...
Safia Seffah, Salah Eddine Rihane, Alain Togbé   +2 more
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