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On Some Results of Erdos and Mirsky

โœ Scribed by Nair, M.; Shiu, P.

Book ID
120096838
Publisher
Oxford University Press
Year
1980
Tongue
English
Weight
117 KB
Volume
s2-22
Category
Article
ISSN
0024-6107

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We employ the probabilistic method to prove a stronger version of a result of Helm, related to a conjecture of Erdos and Turan about additive bases of the positive integers. We show that for a class of random sequences of positive integers \(A\), which satisfy \(|A \cap[1, x]| \gg \sqrt{x}\) with pr