On zero-free subset sums

• Autorzy: Yahya Ould Hamidoune , Gilles Zémor
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996-1997
• Tom: 78
• Numer: 2
• Strony: 143-152

Daty

wydano

1996

otrzymano

1996-01-18

Twórcy

autor

Yahya Ould Hamidoune

• E. Combinatoire, Case 189, Université P. et M. Curie, 4 Place Jussieu, 75005 Paris, France

autor

Gilles Zémor

• Ecole Nationale Supérieure des Télécommunications, Dépt. Réseaux, 46 rue Barrault, 75634 Paris 13, France

Bibliografia

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