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An inequality with applications in diophantine approximation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1452)

Abstract

We prove a general metric inequality and give some applications of it to problems in diophantine approximation and to some estimates for general ‘best approximation denominators’, thereby generalising for example results of Khintchine and Schmidt.

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References

  1. CASSELS, J.W.S.: An Introduction to the geometry of numbers. Springer, Berlin (1959).

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  6. SCHMIDT, W.M.: Metrical Theorems on fractional parts of sequences. Trans.Amer.Math.Soc. 110, 493–518 (1964).

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© 1990 Springer-Verlag

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Larcher, G. (1990). An inequality with applications in diophantine approximation. In: Hlawka, E., Tichy, R.F. (eds) Number-Theoretic Analysis. Lecture Notes in Mathematics, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096986

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  • DOI: https://doi.org/10.1007/BFb0096986

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53408-2

  • Online ISBN: 978-3-540-46864-6

  • eBook Packages: Springer Book Archive