Variations on a Paper of Erdős and Heilbronn
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 654-660

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that an old direct argument of Erdős and Heilbronn may be elaborated to yield a result of the current inverse type.
DOI : 10.4153/CMB-2010-070-5
Mots-clés : 11L07, 11P70
Elliott, P. D. T. A. Variations on a Paper of Erdős and Heilbronn. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 654-660. doi: 10.4153/CMB-2010-070-5
@article{10_4153_CMB_2010_070_5,
     author = {Elliott, P. D. T. A.},
     title = {Variations on a {Paper} of {Erd\H{o}s} and {Heilbronn}},
     journal = {Canadian mathematical bulletin},
     pages = {654--660},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-070-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-070-5/}
}
TY  - JOUR
AU  - Elliott, P. D. T. A.
TI  - Variations on a Paper of Erdős and Heilbronn
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 654
EP  - 660
VL  - 53
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-070-5/
DO  - 10.4153/CMB-2010-070-5
ID  - 10_4153_CMB_2010_070_5
ER  - 
%0 Journal Article
%A Elliott, P. D. T. A.
%T Variations on a Paper of Erdős and Heilbronn
%J Canadian mathematical bulletin
%D 2010
%P 654-660
%V 53
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-070-5/
%R 10.4153/CMB-2010-070-5
%F 10_4153_CMB_2010_070_5

[1] [1] Davenport, H.. On the addition of residue classes. Journ. London Math. Soc. 10(1935), 30–32. Google Scholar

[2] [2] Erdős, P. and Heilbronn, H., On the addition of residue classes mod p. Acta Arith. 9(1964), 149–159. Google Scholar

[3] [3] Halász, G., Estimates for the concentration function of combinatorial number theory and probability. Period. Math. Hungar. 8(1977), 3–4, 197–211. doi:10.1007/BF02018403 Google Scholar

[4] [4] Olson, J. E., An addition theorem modulo p. J. Comb. Th. 5(1968), 45–52. doi:10.1016/S0021-9800(68)80027-4 Google Scholar

[5] [5] Sárközy, A. and Szemerédi, E., Über ein Problem von Erdős and Moser. Acta Arith. 11(1965), 205–208. Google Scholar

Cité par Sources :