# On the additive completion of primes

Acta Arithmetica (1998)

- Volume: 86, Issue: 3, page 269-275
- ISSN: 0065-1036

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top## How to cite

topImre Z. Ruzsa. "On the additive completion of primes." Acta Arithmetica 86.3 (1998): 269-275. <http://eudml.org/doc/207196>.

@article{ImreZ1998,

author = {Imre Z. Ruzsa},

journal = {Acta Arithmetica},

keywords = {additive bases; primes; thin sets; additive problems involving primes},

language = {eng},

number = {3},

pages = {269-275},

title = {On the additive completion of primes},

url = {http://eudml.org/doc/207196},

volume = {86},

year = {1998},

}

TY - JOUR

AU - Imre Z. Ruzsa

TI - On the additive completion of primes

JO - Acta Arithmetica

PY - 1998

VL - 86

IS - 3

SP - 269

EP - 275

LA - eng

KW - additive bases; primes; thin sets; additive problems involving primes

UR - http://eudml.org/doc/207196

ER -

## References

top- [1] N. Alon and J. H. Spencer, The Probabilistic Method, Wiley, New York, 1992. Zbl0767.05001
- [2] P. Erdős, Some results on additive number theory, Proc. Amer. Math. Soc. 5 (1954), 847-853. Zbl0056.27001
- [3] J. D. Esary, F. Proschan and D. W. Walkup, Association of random variables, with applications, Ann. Math. Statist. 38 (1967), 1366-1374. Zbl0183.21502
- [4] C. M. Fortuin and P. W. Kasteleyn, Correlation inequalities on some partially ordered sets, Comm. Math. Phys. 22 (1971), 89-103. Zbl0346.06011
- [5] H. Halberstam and K. F. Roth, Sequences, Clarendon, London, 1966 (2nd ed., Springer, New York, 1983).
- [6] M. N. Kolountzakis, On the additive complements of the primes and sets of similar growth, Acta Arith. 77 (1996), 1-8.
- [7] D. Wolke, On a problem of Erdős in additive number theory, J. Number Theory 59 (1996), 209-213. Zbl0858.11055

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