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Lectures on the Thue Principle

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Part of the book series: Progress in Mathematics ((PM,volume 70))

Abstract

The aim of these lectures is to give an account of results obtained from the application of Thue’s idea of comparing two rational approximations to algebraic numbers in order to show that algebraic numbers cannot be approximated too well by rational numbers. In particular we will give special attention to the problem of obtaining effective measures of irrationality, or types, for various classes of algebraic numbers.

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References

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© 1987 Birkhäuser Boston

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Bombieri, E. (1987). Lectures on the Thue Principle. In: Adolphson, A.C., Conrey, J.B., Ghosh, A., Yager, R.I. (eds) Analytic Number Theory and Diophantine Problems. Progress in Mathematics, vol 70. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4816-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-4816-3_2

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-9173-2

  • Online ISBN: 978-1-4612-4816-3

  • eBook Packages: Springer Book Archive

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