On a Combinatorial Problem in Number Theory
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 477-490

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

Given an integer k ≤ 2 and a finite set M of rational integers. Let vi (i = 1, 2, ..., n) be m-dimensional (column-)vectors with all components from M and such that the kn sums 1.1 are all different. Then we shall say that {v1, v2, ..., vn} is a detecting set of vectors.
Lindström, Bernt. On a Combinatorial Problem in Number Theory. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 477-490. doi: 10.4153/CMB-1965-034-2
@article{10_4153_CMB_1965_034_2,
     author = {Lindstr\"om, Bernt},
     title = {On a {Combinatorial} {Problem} in {Number} {Theory}},
     journal = {Canadian mathematical bulletin},
     pages = {477--490},
     year = {1965},
     volume = {8},
     number = {4},
     doi = {10.4153/CMB-1965-034-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-034-2/}
}
TY  - JOUR
AU  - Lindström, Bernt
TI  - On a Combinatorial Problem in Number Theory
JO  - Canadian mathematical bulletin
PY  - 1965
SP  - 477
EP  - 490
VL  - 8
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-034-2/
DO  - 10.4153/CMB-1965-034-2
ID  - 10_4153_CMB_1965_034_2
ER  - 
%0 Journal Article
%A Lindström, Bernt
%T On a Combinatorial Problem in Number Theory
%J Canadian mathematical bulletin
%D 1965
%P 477-490
%V 8
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-034-2/
%R 10.4153/CMB-1965-034-2
%F 10_4153_CMB_1965_034_2

[1] 1. Bellman, R. and Shapiro, H.N., On a problem in additive number theory, Ann. Math. (2)49(1948), 333-340. Google Scholar

[2] 2. Cantor, D. G., Determining a set from the cardinalities of its intersections with other sets, Canad, J. Math. 16 (1964), 94-97. Google Scholar

[3] 3. Clements, G. F. and Lindström, B., A sequence of (±l) - determinants with large values, Proc. Amer. Math. Soc. June 1965. Google Scholar

[4] 4. Erdös, P., Problems and results in additive number theory, Colloque sur la théorie des nombres, Bruxelles (1955), 127-137. Google Scholar

[5] 5. Erdös, P. and Rényi, A., On two problems of information theory, Publ. Hung. Acad. Sci. 8 (1963), 241-254. Google Scholar

[6] 6. Fine, N.J., Solution El 399, Amer. Math. Monthly 67 (1960), 697. Google Scholar

[7] 7. Lindström, B., On a combinatory detection problem, Publ. Hung. Acad. Sci. 9 (1964), 195-207. Google Scholar

[8] 8. Shapiro, H. S., Problem El 399, Amer. Math. Monthly 67 (1960) 82. Google Scholar

[9] 9. Sőderberg, S. and Shapiro, H. S., A combinatory detection problem, Amer. Math. Monthly 70 (1963), 1066-1070. Google Scholar

Cité par Sources :