On zero-free subset sums

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E. Combinatoire, Case 189, Université P. et M. Curie, 4 Place Jussieu, 75005 Paris, France
Ecole Nationale Supérieure des Télécommunications, Dépt. Réseaux, 46 rue Barrault, 75634 Paris 13, France

A. L. Cauchy, Recherche sur les nombres, J. Ecole Polytechnique 9 (1813), 99-116.
H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32.
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.
P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Monographies Enseign. Math. 28, Genève, 1980.
P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 (1964), 149-159.
H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience, New York, 1965.
J. E. Olson, An addition theorem modulo p, J. Combin. Theory 5 (1968), 45-52.
J. E. Olson, Sums of sets of group elements, Acta Arith. 28 (1975), 147-156.
P. Scherk, Distinct elements in a set of sums, Amer. Math. Monthly 62 (1955), 46-47.
E. Szemerédi, On a conjecture of Erdős and Heilbronn, Acta Arith. 17 (1970), 227-229.