Results 221 to 230 of about 118,710,551 (267)

Linear forms in elliptic logarithms

open access: yesJournal 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
exaly   +4 more sources

Linear forms in two logarithms and interpolation determinants [PDF]

open access: yesActa 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
exaly   +5 more sources

Matrices whose coefficients are linear forms in logarithms

open access: yesJournal 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.
Communicated M. Waldschmidt, Damien Roy
exaly   +3 more sources

Linear forms in two logarithms and Schneider's method

open access: yesMathematische Annalen, 1978
Michel Waldschmidt, Maurice Mignotte
exaly   +3 more sources

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