On Conway's Conjecture for Integer Sets
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 461-462
Voir la notice de l'article provenant de la source Cambridge University Press
Let A be a finite set of integers {ai } and A + A denote {ai + aj } with p different members and A — A denote {ai —aj ) with m different members, the interesting conjecture of Conway [1] states that p < m, unless A is symmetric.
On Conway's Conjecture for Integer Sets. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 461-462. doi: 10.4153/CMB-1971-085-4
@misc{10_4153_CMB_1971_085_4,
title = {On {Conway's} {Conjecture} for {Integer} {Sets}},
journal = {Canadian mathematical bulletin},
pages = {461--462},
year = {1971},
volume = {14},
number = {3},
doi = {10.4153/CMB-1971-085-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-085-4/}
}
[1] 1. Conway, J. H., Problem 7 of Section VI of H.T. Croft's Research problems, mimeographed notes, Cambridge, August, 1967. Google Scholar
[2] 2. Marica, J., On a conjecture of Conway, Canad. Math. Bull. 12 (1969), 233-234. Google Scholar
Cité par Sources :