@article{bwmeta1.element.bwnjournal-article-aav78i2p143bwm, author = {Yahya Ould Hamidoune and Gilles Z\'emor}, title = {On zero-free subset sums}, journal = {Acta Arithmetica}, volume = {76}, year = {1996}, pages = {143-152}, zbl = {0863.11016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav78i2p143bwm} }
Yahya Ould Hamidoune; Gilles Zémor. On zero-free subset sums. Acta Arithmetica, Tome 76 (1996) pp. 143-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav78i2p143bwm/
[000] [1] A. L. Cauchy, Recherche sur les nombres, J. Ecole Polytechnique 9 (1813), 99-116.
[001] [2] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32. | Zbl 0010.38905
[002] [3] P. Erdős, Problems and results on combinatorial number theory, in: A Survey of Combinatorial Theory, J. N. Srivastava et al. (eds.), North-Holland, 1973, 117-138.
[003] [4] P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Monographies Enseign. Math. 28, Genève, 1980. | Zbl 0434.10001
[004] [5] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 (1964), 149-159. | Zbl 0156.04801
[005] [6] H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience, New York, 1965. | Zbl 0127.27203
[006] [7] J. E. Olson, An addition theorem modulo p, J. Combin. Theory 5 (1968), 45-52. | Zbl 0174.05202
[007] [8] J. E. Olson, Sums of sets of group elements, Acta Arith. 28 (1975), 147-156. | Zbl 0318.10035
[008] [9] P. Scherk, Distinct elements in a set of sums, Amer. Math. Monthly 62 (1955), 46-47.
[009] [10] E. Szemerédi, On a conjecture of Erdős and Heilbronn, Acta Arith. 17 (1970), 227-229.