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Linear forms in the logarithms of algebraic numbers

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Classical Diophantine Equations

Part of the book series: Lecture Notes in Mathematics ((3157,volume 1559))

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Abstract

This chapter is of an auxiliary nature, being mainly concerned with the relationship between bounds for linear forms in the logarithms of algebraic numbers in different (archimedean and non-archimedean) metrics. This material will later be used in the analysis of Thue and Thue-Mahler equations. Elliptic and hyperelliptic equations, and equations of hyperelliptic type, will be analysed using direct bounds for linear forms in the logarithms of algebraic numbers, and the necessary results are stated without proof at the end of the chapter. *** DIRECT SUPPORT *** A00I6B17 00002

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Ross Talent

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© 1993 Springer-Verlag

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Sprindžuk, V.G. (1993). Linear forms in the logarithms of algebraic numbers. In: Talent, R. (eds) Classical Diophantine Equations. Lecture Notes in Mathematics, vol 1559. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073789

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  • DOI: https://doi.org/10.1007/BFb0073789

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57359-3

  • Online ISBN: 978-3-540-48083-9

  • eBook Packages: Springer Book Archive

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