ArticleOriginal scientific text

Title

On sums of distinct representatives

Authors 1, 2

Affiliations

  1. The Fundamental Division, Nanjing Auditing College, Nanjing 210029, The People's Republic of China
  2. Department of Mathematics, Nanjing University, Nanjing 210093, The People's Republic of China

Bibliography

  1. [ANR1] N. Alon, M. B. Nathanson and I. Z. Ruzsa, Adding distinct congruence classes modulo a prime, Amer. Math. Monthly 102 (1995), 250-255.
  2. [ANR2] N. Alon, M. B. Nathanson and I. Z. Ruzsa, The polynomial method and restricted sums of congruence classes, J. Number Theory 56 (1996), 404-417.
  3. [B] Y. Bilu, Addition of sets of integers of positive density, ibid. 64 (1997), 233-275.
  4. [DH] J. A. Dias da Silva and Y. O. Hamidoune, Cyclic space for Grassmann derivatives and additive theory, Bull. London Math. Soc. 26 (1994), 140-146.
  5. [EH] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 ( 196), 4149-159.
  6. [G] R. K. Guy, Unsolved Problems in Number Theory, 2nd ed., Springer, New York, 1994, 129-131.
  7. [H] P. Hall, On representatives of subsets, J. London Math. Soc. 10 (1935), 26-30.
  8. [J] N. Jacobson, Basic Algebra I, 2nd ed., W. H. Freeman and Company, New York, 1985.
  9. [N] M. B. Nathanson, Inverse theorems for subset sums, Trans. Amer. Math. Soc. 347 (1995), 1409-1418.
Pages:
159-169
Main language of publication
English
Received
1998-03-01
Accepted
1998-08-09
Published
1998
Exact and natural sciences