On the additive complements of the primes and sets of similar growth

Mihail N. Kolountzakis

Acta Arithmetica (1996)

  • Volume: 77, Issue: 1, page 1-8
  • ISSN: 0065-1036

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Mihail N. Kolountzakis. "On the additive complements of the primes and sets of similar growth." Acta Arithmetica 77.1 (1996): 1-8. <http://eudml.org/doc/206905>.

@article{MihailN1996,
author = {Mihail N. Kolountzakis},
journal = {Acta Arithmetica},
keywords = {additive complement of the set of primes; almost complements; complementary sets},
language = {eng},
number = {1},
pages = {1-8},
title = {On the additive complements of the primes and sets of similar growth},
url = {http://eudml.org/doc/206905},
volume = {77},
year = {1996},
}

TY - JOUR
AU - Mihail N. Kolountzakis
TI - On the additive complements of the primes and sets of similar growth
JO - Acta Arithmetica
PY - 1996
VL - 77
IS - 1
SP - 1
EP - 8
LA - eng
KW - additive complement of the set of primes; almost complements; complementary sets
UR - http://eudml.org/doc/206905
ER -

References

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  1. [1] N. Alon and J. H. Spencer, The Probabilistic Method, Wiley-Intersci. Ser. Discrete Math. Optim., Wiley, New York, 1992. Zbl0767.05001
  2. [2] P. Erdős, Some results in additive number theory, Proc. Amer. Math. Soc. 5 (1954), 847-853. Zbl0056.27001
  3. [3] P. Erdős, On a problem of Sidon in additive number theory, Acta Sci. Math. (Szeged) 15 (1953-54), 255-259. 
  4. [4] P. Erdős, Problems and results in additive number theory, Colloque sur la Théorie des Nombres (CBRM, Bruxelles), 127-137. 
  5. [5] P. Erdős and A. Rényi, Additive properties of random sequences of positive integers, Acta Arith. 6 (1960), 83-110. Zbl0091.04401
  6. [6] H. Halberstam and K. F. Roth, Sequences, Springer, New York, 1983. 
  7. [7] D. Wolke, On a problem of Erdős in additive number theory, preprint, 1995. 

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