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On Conway's conjecture for integer sets
Published online by Cambridge University Press: 17 April 2009
Abstract
Let A = {ai} be a finite set of integers and let p, m denote the orders of A + A = {ai+aj} and A – A = {ai–aj} respectively. J.H. Conway conjectured that p ≤ m always and that p = m only if A is symmetric about 0. This conjecture has since been disproved; here we make several other observations on the values of p and m.
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- Copyright © Australian Mathematical Society 1973
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