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Fractional parts of several polynomials—II

Published online by Cambridge University Press:  26 February 2010

R. C. Baker
Affiliation:
Royal Holloway College, Egham, Surrey.
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Extract

Let ‖x‖ denote the distance of x from the nearest integer. We are going to use a method of W. M. Schmidt [4] to prove three theorems.

Type
Research Article
Copyright
Copyright © University College London 1978

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References

1.Baker, R. C.. “Fractional parts of several polynomials”, Quart. J. Math. (Oxford), 28 (1977), 453–71.CrossRefGoogle Scholar
2.Cassels, J. W. S.. An introduction to the geometry of numbers (Springer-Verlag, Berlin, 1971).Google Scholar
3.Hua, L. K.. Additive theory of prime numbers (American Mathematical Society, Providence, 1965).Google Scholar
4.Schmidt, W. M.. Small fractional parts of polynomials (American Mathematical Society, Providence, 1977).Google Scholar