On additive bases

• Autorzy: W. Gao , Y. O. Hamidoune
• Języki publikacji: EN

Kategorie tematyczne

• 11B75: Other combinatorial number theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 88
• Numer: 3
• Strony: 233-237

Daty

wydano

1999

otrzymano

1998-03-03

poprawiono

1998-09-21

Twórcy

autor

W. Gao

• Department of Computer Science and Technology, University of Petroleum, Shangping Shiuku Road, Beijing 10200, China

autor

Y. O. Hamidoune

• Université P. et M. Curie, E. Combinatoire, Case 189, 4, Place Jussieu, 75252 Paris Cedex, France

Bibliografia

• [1] J. A. Dias da Silva and Y. O. Hamidoune, Cyclic subspaces of Grassmann derivations, Bull. London Math. Soc. 26 (1994), 140-146.
• [2] G. T. Diderrich, An addition theorem for abelian groups of order pq, J. Number Theory 7 (1975), 33-48.
• [3] G. T. Diderrich and H. B. Mann, Combinatorial problems in finite abelian groups, in: A Survey of Combinatorial Theory, J. L. Srivasta et al. (eds.), North-Holland, Amsterdam, 1973, 95-100.
• [4] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 (1964), 149-159.
• [5] W. Gao, On the size of additive bases of finite groups, preprint, October 1997.
• [6] Y. O. Hamidoune, Adding distinct congruence classes, Combin. Probab. Comput. 7 (1998), 81-87.
• [7] Y. O. Hamidoune and G. Zémor, On zero-free subset sums, Acta Arith. 78 (1996), 143-152.
• [8] Y. O. Hamidoune, A. S. Lladó and O. Serra, On sets with a small subset sum, Combin. Probab. Comput., to appear.
• [9] E. Lipkin, Subset sums of sets of residues, in: Conference on the Structure Theory of Set Addition, CIRM, Marseille, 1993, 187-197.
• [10] H. B. Mann, Addition Theorems, 2nd ed., R. E. Krieger, New York, 1976.
• [11] H. B. Mann and J. E. Olson, Sums of sets of elements in the elementary abelian group of type (p,p), J. Combin. Theory 2 (1967), 275-284.
• [12] H. B. Mann and Y. F. Wou, Addition theorem for the elementary abelian group of type (p,p), Monatsh. Math. 102 (1986), 273-308.
• [13] J. E. Olson, An addition theorem modulo p, J. Combin. Theory 5 (1968), 45-52.
• [14] J. E. Olson, Sums of sets of group elements, Acta Arith. 28 (1975), 147-156.
• [15] C. Peng, An addition theorem in elementary abelian groups, J. Number Theory 27 (1987), 58-62.