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Sifting short intervals

Published online by Cambridge University Press:  24 October 2008

John B. Friedlander
John B. Friedlander
Affiliation:
University of Toronto.
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Extract

Let φ (X) denote a function satisfying limx→∞, φ(X) = ∞. Let ℬ be a sequence of positive integers and let T(X) = T(X, ℬ, φ) be the set of real numbers y, 1 ≤ y ≤ X, such that the interval (y, y + φ(y)] contains no member of ℬ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 1 , January 1982 , pp. 9 - 15
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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