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Some notes on Turán's mathematical work

✍ Scribed by Paul Erdös


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
216 KB
Volume
29
Category
Article
ISSN
0021-9045

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On A Problem of Erdős and Turán and Some
✍ 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