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Titlebook: Diophantine Approximation; Lectures given at th David Masser,Yuri V. Nesterenko,Michel Waldschmidt Book 2003 Springer-Verlag Berlin Heidelb

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David Masser,Yuri V. Nesterenko,Michel Waldschmidt
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Lecture Notes in Mathematicshttp://image.papertrans.cn/e/image/280532.jpg
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https://doi.org/10.1007/978-3-030-40098-9Of course it is impossible for four lecturers to cover the whole of diophantine approximation and transcendence theory in 24 hours. So each one has to restrict himself to special aspects.
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Urban Resilience and Spatial EconomicsThe best known linear recurrence sequence is the Fibonacci Sequence 1,1,2,3,5,8,..., where each term (after the first two terms) is a sum of the two preceding terms. We may extend it to become a “doubly infinite” sequence ..
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Linear Recurrence Sequences,The best known linear recurrence sequence is the Fibonacci Sequence 1,1,2,3,5,8,..., where each term (after the first two terms) is a sum of the two preceding terms. We may extend it to become a “doubly infinite” sequence ..
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Linear Independence Measures for Logarithms of Algebraic Numbers,Let α.,...,α. be nonzero algebraic numbers and . .,...,. . rational integers. Assume α....α. ≠ 1. According to Liouville’s inequality (Proposition 1.13), the lower bound . holds with .=max{|. .|,...,|. .|} and with a positive number . depending only on α.,...,α.. A fundamental problem is to prove a sharper estimate.
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