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On the sum and the difference of finite sets of integers
Published online by Cambridge University Press: 17 April 2009
Abstract
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Let A = {ai} be a finite set of integers and let p and m denote the cardinalities of A + A = {ai+aj} and A - A {ai–aj}, respectively. In the paper relations are established between p and m; in particular, if max {ai–ai-1} = 2 those sets are characterized for which p = m holds.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 15 , Issue 2 , October 1976 , pp. 245 - 251
- Copyright
- Copyright © Australian Mathematical Society 1976
References
[1]Macdonald, Sheila Oates and Street, Anne Penfold, “On Conway's conjecture for integer sets”, Bull. Austral. Math. Soc. 8 (1973), 355–358.CrossRefGoogle Scholar
[2]Spohn, William G. Jr., “On Conway's conjecture for integer sets”, Canad. Math. Bull. 14 (1971), 461–462.CrossRefGoogle Scholar
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