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Simultaneous approximation of two additive forms

Published online by Cambridge University Press:  24 October 2008

Ming-Chit Liu
Ming-Chit Liu
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong, B.C.C.
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Extract

1. Introduction. In 1948, H. Heibronn (6) improved Vinogradov's result (11) and obtained that for any ε > 0 there exists some positive constant C(ε) which depends on ε only such that, for any real number θ and any integer N ≥ 1, there is an integer x satisfying

Here ∥t∥ means the distance from t to the nearest integer.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 1 , January 1974 , pp. 77 - 82
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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