On addition of two sets of integers

Yong-Gao Chen

Acta Arithmetica (1997)

  • Volume: 80, Issue: 1, page 83-87
  • ISSN: 0065-1036

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Yong-Gao Chen. "On addition of two sets of integers." Acta Arithmetica 80.1 (1997): 83-87. <http://eudml.org/doc/207029>.

@article{Yong1997,
author = {Yong-Gao Chen},
journal = {Acta Arithmetica},
keywords = {addition of sets; Kneser's theorem},
language = {eng},
number = {1},
pages = {83-87},
title = {On addition of two sets of integers},
url = {http://eudml.org/doc/207029},
volume = {80},
year = {1997},
}

TY - JOUR
AU - Yong-Gao Chen
TI - On addition of two sets of integers
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 1
SP - 83
EP - 87
LA - eng
KW - addition of sets; Kneser's theorem
UR - http://eudml.org/doc/207029
ER -

References

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  1. [1] G. Freiman, On addition of finite sets, I, Izv. Vyssh. Uchebn. Zaved. Mat. 1959 (6), 203-213. 
  2. [2] G. Freiman, Inverse problems of additive number theory, VI, ibid. 1962 (3), 151-157. Zbl0156.05102
  3. [3] M. Kneser, Abschätzung der asymptotischen Dichte von Summenmengen, Math. Z. 58 (1953), 459-484. Zbl0051.28104
  4. [4] M. Kneser, Ein Satz über abelschen Gruppen mit Anwendungen auf die Geometrie der Zahlen, ibid. 61 (1955), 429-434. Zbl0064.04305
  5. [5] V. F. Lev and P. Y. Smeliansky, On addition of two distinct sets of integers, Acta Arith. 70 (1995), 85-91 Zbl0817.11005

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