Geodesic
A Strong Form of a Problem of R. L. Graham
Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 358-368

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If $A$ is a set of $M$ positive integers, let $G(A)$ be the maximum of ${{a}_{i}}/\,\gcd ({{a}_{i}},\,\,{{a}_{j}}\,)$ over ${{a}_{i}},\,{{a}_{j}}\,\,\in \,\,A.$ We show that if $G(A)$ is not too much larger than $M$ , then $A$ must have a special structure.
DOI : 10.4153/CMB-2004-035-7
Mots-clés : 11A05 
Ford, Kevin. A Strong Form of a Problem of R. L. Graham. Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 358-368. doi: 10.4153/CMB-2004-035-7
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     title = {A {Strong} {Form} of a {Problem} of {R.} {L.} {Graham}},
     journal = {Canadian mathematical bulletin},
     pages = {358--368},
     year = {2004},
     volume = {47},
     number = {3},
     doi = {10.4153/CMB-2004-035-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-035-7/}
}
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