A sequence well distributed in the square
Published online by Cambridge University Press: 24 October 2008
Extract
Bollobás and Erdös[1] have posed the problem:
If a is irrational, show that for 1 ≤ i < j ≤ p the number of integers t with 1 ≤ t ≤ p such that {(t–i)2a} < d and {(t–j)2a} < d, 0 < d < 1, is d2p + o(p) uniformly in i, j.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 19 - 22
- Copyright
- Copyright © Cambridge Philosophical Society 1986
References
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