Results 11 to 20 of about 53,772 (244)
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.
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Linear forms in elliptic logarithms
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
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Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms [PDF]
Acta Arithmetica, 1994 In order to compute all integer points on a Weierstraß equation for an elliptic curve \(E/\mathbb{Q}\), one may translate the linear relation between rational points on \(E\) into a linear form of elliptic logarithms. An upper bound for this linear form can be obtained by employing the Néron-Tate height function and a lower bound is provided by a ...
Stroeker, RJ (Roel), Tzanakis, N (Nikos)
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Matrices whose coefficients are linear forms in logarithms
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.
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Linear forms in two logarithms and Schneider's method
Mathematische Annalen, 1978 Mignotte, Maurice, Waldschmidt, Michel
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A sharpening of the bounds for linear forms in logarithms [PDF]
Acta Arithmetica, 1972 openaire +4 more sources
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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On Joint Universality in the Selberg–Steuding Class
Mathematics, 2023 The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
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