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

Acta Arithmetica (1996)

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

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topMihail 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

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

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