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 
@article{10_4064_aa_83_2_127_141,
     author = {Yonutz Stanchescu},
     title = {On the structure of sets with small doubling property on the plane {(I)}},
     journal = {Acta Arithmetica},
     pages = {127--141},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {1998},
     doi = {10.4064/aa-83-2-127-141},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-83-2-127-141/}
}
TY  - JOUR
AU  - Yonutz Stanchescu
TI  - On the structure of sets with small doubling property on the plane (I)
JO  - Acta Arithmetica
PY  - 1998
SP  - 127
EP  - 141
VL  - 83
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa-83-2-127-141/
DO  - 10.4064/aa-83-2-127-141
LA  - en
ID  - 10_4064_aa_83_2_127_141
ER  - 
%0 Journal Article
%A Yonutz Stanchescu
%T On the structure of sets with small doubling property on the plane (I)
%J Acta Arithmetica
%D 1998
%P 127-141
%V 83
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa-83-2-127-141/
%R 10.4064/aa-83-2-127-141
%G en
%F 10_4064_aa_83_2_127_141
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

Cité par Sources :