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Algebraic Independencere algebraic numbers . such that |.|is small but not zero. One deduces that numbers ..,..., .. belonging to a field of transcendence degree 1 admit good simultaneous approximations by algebraic numbers ..,..., .., where the quality of the approximation, namely the number max.... |.. − ..|, is controlled in terms of the degree [ℚ(..,..., ..): ℚ].Pericarditis 发表于 2025-3-24 06:22:43
0072-7830 k deals with values of the usual exponential function e^z. A central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. This book includes proofs of the main basic results (theorems of Hermite-Lindemann, Gelfond-Schneider, 6 exponentials theorem), an introducompel 发表于 2025-3-24 09:57:55
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https://doi.org/10.1007/978-3-319-14738-3.,...,..) then we can estimate from below |.(..,...,..)|. The lower bound will depend upon the degrees of . with respect to each of the X.’s, the absolute values of its coefficients as well as some measure of the ..’s.micturition 发表于 2025-3-24 23:55:20
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