On A Conjecture of Conway
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 233-234
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Problem 7 of Section VI of H. T. Croft's "Research Problems" (August, 1967 edition) is by J. H. Conway:A is a finite set of integers {ai}. A + A denotes {ai + aj}, A - A denotes {ai - aj}. Prove that A - A always has more members than A + A, unless A is symmetrical about 0.First note that 'about 0' is redundant and erroneous.
Marica, John. On A Conjecture of Conway. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 233-234. doi: 10.4153/CMB-1969-029-4
@article{10_4153_CMB_1969_029_4,
author = {Marica, John},
title = {On {A} {Conjecture} of {Conway}},
journal = {Canadian mathematical bulletin},
pages = {233--234},
year = {1969},
volume = {12},
number = {2},
doi = {10.4153/CMB-1969-029-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-029-4/}
}
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