Introduction and Historical Survey

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 326)


In this first chapter we give some historical background on Baker’s Theorem, both in the qualitative and in the quantitative form, in the homogeneous as 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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  1. 1.Institut de Mathématiques de JussieuUniversité Pierre et Marie Curie (Paris VI)Paris Cedex 05France

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