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Small fractional parts of quadratic and additive forms

Published online by Cambridge University Press:  24 October 2008

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

We denote by ∥…∥ the distance to the nearest integer. Let ε be an arbitrary positive number. Danicic(6) showed that for N > c1(s, ε) and a quadratic form Q(x1, …, xs) there exist integers n1, …, ns with

having

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 1 , July 1981 , pp. 5 - 12
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

REFERENCES

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