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Sum-Avoiding Subsets

✍ Scribed by Imre Z. Ruzsa


Publisher
Springer US
Year
2005
Tongue
English
Weight
163 KB
Volume
9
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES


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~roughout this paper we use the following notatians: The cardinality of the finite set Y is denoted by ISI -.s& B8, . I s den&e finite or infinite sets of positive integers. If & is a finite or infinite set of positive integers, then S(d) denotes the set of the distinct positive integers n that can

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✍ Tomasz Łuczak; Tomasz Schoen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 112 KB

For a natural number k β‰₯ 2 let ρ = ρ(k) be the smallest natural number which does not divide k -1. We show that for any subset A of a right cancellative semigroup S which contains no solutions of the equation x 1 + β€’ β€’ β€’ + x k = y there is an element s in S such that the sets A, A + s, . . . , A + (