On the System of Differences in Finite Sets of Natural Numbers
โ Scribed by Egbert Harzheim
- Book ID
- 120766334
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 566 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We construct a universal r.e. set in the following manner: For any (n, x) we construct a set Un,, E 8 such that the set of all (z, n, x ) such that z E U,,,, is r.e. We construct the set Un,x by steps, and on step s we build a finite approximation U,,.x,s of U,,,,, and finally we take Let us describ
A subset of the natural numbers is k-sum-free if it contains no solutions of the equation x 1 + } } } +x k = y, and strongly k-sum-free when it is l-sum-free for every l=2, ..., k. It is shown that every k-sum-free set with upper density larger than 1ร(k+1) is a subset of a periodic k-sum-free set a