On a Sum of Divisors
Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 423-430

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

Let l(N, r) be the minimum number of terms needed to express r as a sum of distinct divisors of N. Let l(N) = max{l(N, r) : 1 ≤ r ≤ N}. Then for Vose's sequence improving the result of M. Vose.
DOI : 10.4153/CMB-1992-056-7
Mots-clés : 11D85, 11D68
Yokota, Hisashi. On a Sum of Divisors. Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 423-430. doi: 10.4153/CMB-1992-056-7
@article{10_4153_CMB_1992_056_7,
     author = {Yokota, Hisashi},
     title = {On a {Sum} of {Divisors}},
     journal = {Canadian mathematical bulletin},
     pages = {423--430},
     year = {1992},
     volume = {35},
     number = {3},
     doi = {10.4153/CMB-1992-056-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-056-7/}
}
TY  - JOUR
AU  - Yokota, Hisashi
TI  - On a Sum of Divisors
JO  - Canadian mathematical bulletin
PY  - 1992
SP  - 423
EP  - 430
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-056-7/
DO  - 10.4153/CMB-1992-056-7
ID  - 10_4153_CMB_1992_056_7
ER  - 
%0 Journal Article
%A Yokota, Hisashi
%T On a Sum of Divisors
%J Canadian mathematical bulletin
%D 1992
%P 423-430
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-056-7/
%R 10.4153/CMB-1992-056-7
%F 10_4153_CMB_1992_056_7

[1] 1. Erdős, P., The solution in whole numbers of the equation:1 /x + 1/x + • • • + 1/x = a/b, Mat. Lapok 1(1950), 192–210. Google Scholar

[2] 2. Erdős, P. and Graham, R. L., Old and New Problems and Results in Combinatorial Number Theory , Monographie 28, L'Enseign. Math. Univ. de Genève (1980), 30–44. Google Scholar

[3] 3. Tenenbaum, G., Sur un problème extremal en arithmétique, Ann. Inst. Fourier (22) 37 (1987), 1–18. Google Scholar

[4] 4. Tenenbaum, G. and Yokota, H., Length and denominators of Egyptian fractions, III , J. Number Theory 35(1990), 150–156. Google Scholar

[5] 5. Vose, M., Integers with consecutive divisors in small ratio, J. Number Theory 19(1984), 233–238. Google Scholar

Cité par Sources :