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On the structure of a random sum-free set

✍ Scribed by Peter J. Cameron


Book ID
105016335
Publisher
Springer
Year
1987
Tongue
English
Weight
407 KB
Volume
76
Category
Article
ISSN
1432-2064

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On Infinite Sum-free Sets of Natural Num
✍ Tomasz Ε‚uczak; Tomasz Schoen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 346 KB

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 1Γ‚(k+1) is a subset of a periodic k-sum-free set a