Geodesic
On the structure of sets with small doubling property on the plane (I)
Acta Arithmetica, Tome 83 (1998) no. 2, pp. 127-141.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let K be a finite set of lattice points in a plane. We prove that if |K| is sufficiently large and |K+K| (4 - 2/s)|K| - (2s-1), then there exist s - 1 parallel lines which cover K. We also obtain some more precise structure theorems for the cases s = 3 and s = 4.
DOI : 10.4064/aa-83-2-127-141

Yonutz Stanchescu 1

1 
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Yonutz Stanchescu. On the structure of sets with small doubling property on the plane (I). Acta Arithmetica, Tome 83 (1998) no. 2, pp. 127-141. doi : 10.4064/aa-83-2-127-141. http://geodesic.mathdoc.fr/articles/10.4064/aa-83-2-127-141/

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