Erdös-Turán theorems on a system of Jordan curves and arcs
✍ Scribed by H. -P. Blatt; R. Grothmann
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 1003 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0176-4276
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📜 SIMILAR VOLUMES
The theorems of Erdo s and Tura n mentioned in the title are concerned with the distribution of zeros of a monic polynomial with known uniform norm along the unit interval or the unit disk. Recently, Blatt and Grothmann (Const. Approx. 7 (1991), 19 47), Grothmann (``Interpolation Points and Zeros of
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