On zero-free subset sums

Yahya Ould Hamidoune; Gilles Zémor

Acta Arithmetica (1996)

  • Volume: 78, Issue: 2, page 143-152
  • ISSN: 0065-1036

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Yahya Ould Hamidoune, and Gilles Zémor. "On zero-free subset sums." Acta Arithmetica 78.2 (1996): 143-152. <http://eudml.org/doc/206938>.

@article{YahyaOuldHamidoune1996,
author = {Yahya Ould Hamidoune, Gilles Zémor},
journal = {Acta Arithmetica},
keywords = {abelian group; subset sum},
language = {eng},
number = {2},
pages = {143-152},
title = {On zero-free subset sums},
url = {http://eudml.org/doc/206938},
volume = {78},
year = {1996},
}

TY - JOUR
AU - Yahya Ould Hamidoune
AU - Gilles Zémor
TI - On zero-free subset sums
JO - Acta Arithmetica
PY - 1996
VL - 78
IS - 2
SP - 143
EP - 152
LA - eng
KW - abelian group; subset sum
UR - http://eudml.org/doc/206938
ER -

References

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  1. [1] A. L. Cauchy, Recherche sur les nombres, J. Ecole Polytechnique 9 (1813), 99-116. 
  2. [2] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32. Zbl0010.38905
  3. [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. [4] P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Monographies Enseign. Math. 28, Genève, 1980. Zbl0434.10001
  5. [5] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 (1964), 149-159. Zbl0156.04801
  6. [6] H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience, New York, 1965. Zbl0127.27203
  7. [7] J. E. Olson, An addition theorem modulo p, J. Combin. Theory 5 (1968), 45-52. Zbl0174.05202
  8. [8] J. E. Olson, Sums of sets of group elements, Acta Arith. 28 (1975), 147-156. Zbl0318.10035
  9. [9] P. Scherk, Distinct elements in a set of sums, Amer. Math. Monthly 62 (1955), 46-47. 
  10. [10] E. Szemerédi, On a conjecture of Erdős and Heilbronn, Acta Arith. 17 (1970), 227-229. 

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