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ArticleOriginal scientific text

Title

On additive bases

Authors 1, 2

Affiliations

  1. Department of Computer Science and Technology, University of Petroleum, Shangping Shiuku Road, Beijing 10200, China
  2. Université P. et M. Curie, E. Combinatoire, Case 189, 4, Place Jussieu, 75252 Paris Cedex, France

Bibliography

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  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.
Acta Arithmetica
1999/88/3
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Pages:
233-237
Main language of publication
English
Received
1998-03-03
Accepted
1998-09-21
Published
1999
Exact and natural sciences