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On some power sum problems of Turán and Erdős

✍ Scribed by J. Andersson

Publisher
Akadmiai Kiad
Year
1996
Tongue
English
Weight
418 KB
Volume
70
Category
Article
ISSN
1588-2632

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✍ N. Alon; M.N. Kolountzakis 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 315 KB

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