Erdös-Turán type discrepancy bounds
✍ Scribed by Peter J. Grabner
- Publisher
- Springer Vienna
- Year
- 1991
- Tongue
- English
- Weight
- 268 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let A be a set of nonnegative integers. For every nonnegative integer n and positive integer h; let r A ðn; hÞ denote the number of representations of n in the form n where a 1 ; a 2 ; y; a h AA and a 1 pa 2 p?pa h : The infinite set A is called a basis of order h if r A ðn; hÞX1 for every nonnegat
A system of r-element subsets (blocks) of an n-element set X n is called a Tura n (n, k, r)-system if every k-element subset of X n contains at least one of the blocks. The Tura n number T(n, k, r) is the minimum size of such a system. We prove upper estimates: + as n Ä , r Ä , k=(#+o(1))r, #>1.