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Bases in some additive groups and the Erdős–Turán conjecture

✍ Scribed by L. Haddad; C. Helou

Book ID
108167117
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
210 KB
Volume
108
Category
Article
ISSN
0097-3165

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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