saphenous-vein 发表于 2025-3-25 05:04:57

M. Jansen,M. Judas,J. Saborowskire 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].

nocturnal 发表于 2025-3-25 09:53:01

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Stress 发表于 2025-3-25 12:20:37

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PSA-velocity 发表于 2025-3-25 16:51:59

https://doi.org/10.1007/978-3-662-11569-5Algebra; Diophantine approximation; Exponential Functions; Linear Algebraic groups; Measures of Independ

inquisitive 发表于 2025-3-25 19:59:42

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使声音降低 发表于 2025-3-26 03:44:58

Michel WaldschmidtIncludes supplementary material:

Chronological 发表于 2025-3-26 04:17:25

Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/e/image/280537.jpg

FLAT 发表于 2025-3-26 09:50:08

Design Principles for Micro Modelsas well as in the nonhomogeneous version. We also describe the six exponentials Theorem, we present the state of the art on the problem of algebraic independence of logarithms of algebraic numbers. We conclude with a few comments on the Linear Subgroup Theorem.

澄清 发表于 2025-3-26 14:44:21

Robert Tanton,Kimberley L. Edwardsle. Our aim is to prove the theorems of Hermite-Lindemann and Gel’ fond-Schneider by means of the alternants or interpolation determinants of M. Laurent . The real case of these two theorems (§§ 2.3 and 2.4) is easier, thanks to an estimate, due to G. Pólya (Lemma 2.2), for the number of r

gusher 发表于 2025-3-26 19:56:54

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查看完整版本: Titlebook: Diophantine Approximation on Linear Algebraic Groups; Transcendence Proper Michel Waldschmidt Book 2000 Springer-Verlag Berlin Heidelberg 2