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Linear forms in elliptic logarithms [PDF]
Journal of Number Theory, 1985 The author studies lower bounds for linear forms in elliptic integrals in the case of complex multiplications, and related estimates for dependence relations of such numbers. His results considerably improves on the previous works of D. Masser and M. Anderson on these topics, the main feature being a sharp dependence on the heights of the corresponding
Kunrui Yu
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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.
Michel Laurent
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Matrices whose coefficients are linear forms in logarithms [PDF]
Journal of Number Theory, 1992 Denote by \(L\) the \({\mathbb{Q}}\)-vector space of complex numbers \(\ell\) such that \(e^{\ell}\) is an algebraic number, and by \({\mathcal L}\) the vector space generated by \(1\) and \(L\) over the field \(\overline\mathbb{Q}\) of algebraic numbers.
Damien Roy
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On the number of linear forms in logarithms [PDF]
Journal of Number Theory, 2007 8 ...
Lamzouri, Youness, Youness Lamzouri
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A lower bound for linear forms in logarithms [PDF]
Acta Arithmetica, 1980 Michel Waldschmidt
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A sharpening of the bounds for linear forms in logarithms [PDF]
Acta Arithmetica, 1972 exaly +3 more sources
On perfect powers in $k$-generalized Pell sequence [PDF]
Mathematica Bohemica, 2023 Let $k\geq2$ and let $(P_n^{(k)})_{n\geq2-k}$ be the $k$-generalized Pell sequence defined by \begin{equation*} P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots+P_{n-k}^{(k)} \end{equation*}for $n\geq2$ with initial conditions \begin{equation*} P_{-(k-2)}^{(
Zafer Şiar +2 more
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Mulatu Numbers Which Are Concatenation of Two Fibonacci Numbers
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 Let (M_k) be the sequence of Mulatu numbers defined by M_0=4, M_1=1, M_k=M_(k-1)+M_(k-2) and (F_k) be the Fibonacci sequence given by the recurrence F_k=F_(k-1)+F_(k-2) with the initial conditions F_0=0, F_1=1 for k≥2.
Fatih Erduvan, Merve Güney Duman
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Fractional parts of powers of real algebraic numbers
Comptes Rendus. Mathématique, 2022 Let $\alpha $ be a real algebraic number greater than $1$. We establish an effective lower bound for the distance between an integral power of $\alpha $ and its nearest integer.
Bugeaud, Yann
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