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Fermat and Mersenne numbers in $k$-Pell sequence
For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}
B. Normenyo, S. Rihane, A. Togbe
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A Quadratic Diophantine Equation Involving Generalized Fibonacci Numbers
The sequence of the k-generalized Fibonacci numbers ( F n ( k ) ) n is defined by the recurrence F n ( k ) = ∑ j = 1 k F n − j ( k ) beginning with the k terms 0 , … , 0 , 1 .
Ana Paula Chaves, Pavel Trojovský
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Linear forms in two logarithms and Schneider's method
Michel Waldschmidt +2 more
exaly +3 more sources
For the very first time the sex ratio, length-weight relationships (LWRs), length-length relationships (LLRs), form factor, as well as condition factor were calculated for bartail flathead, Platycephalus indicus, captured with gill nets (mesh size: 2.0–6.
Md. Rahamat Ullah +1 more
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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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. 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]
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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Quantitative estimates in stochastic homogenization for correlated coefficient fields [PDF]
This paper is about the homogenization of linear elliptic operators in divergence form with stationaryrandom coefficients that have only slowly decaying correlations.
Gloria, Antoine +5 more
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Linear forms in two logarithms and Schneider's method. II [PDF]
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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Ranks of matrices of logarithms of algebraic numbers I: the theorems of Baker and Waldschmidt-Masser [PDF]
Let $\mathscr{L}$ denote the $\mathbf{Q}$-vector space of logarithms of algebraic numbers. In this expository work, we provide an introduction to the study of ranks of matrices with coefficients in $\mathscr{L}$.
Dasgupta, Samit
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