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ArticleOriginal scientific text

Title

On extremal sets without coprimes

Authors 1, 2

Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany
  2. Institute of Problems of Information and Automation, Armenian Academy of Sciences, 1, P. Sevak St., Erevan 44, Armenia

Bibliography

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  2. R. Ahlswede and D. E. Daykin, The number of values of combinatorial functions, Bull. London Math. Soc. 11 (1979), 49-51.
  3. R. Ahlswede and D. E. Daykin, Inequalities for a pair of maps S × S → S with S a finite set, Math. Z. 165 (1979), 267-289.
  4. B. Bollobás, Combinatorics, Cambridge University Press, 1986.
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  6. P. Erdős, Remarks in number theory, IV , Mat. Lapok 13 (1962), 228-255.
  7. P. Erdős, Problems and results on combinatorial number theory, Chapt. 12 in: A Survey of Combinatorial Theory, J. N. Srivastava et al. (eds.), North-Holland, 1973.
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  9. P. Erdős and A. Sárközy, On sets of coprime integers in intervals, preprint No. 9/1992, Mathematical Institute of the Hungarian Academy of Sciences.
  10. P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of integers, Ann. Univ. Sci. Budapest. Eötvös 12 (1969), 131-135.
  11. P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of integers, II, Publ. Math. 27 (1980), 117-125.
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  14. C. Szabó and G. Tóth, Maximal sequences not containing 4 pairwise coprime integers, Mat. Lapok 32 (1985), 253-257 (in Hungarian).
Acta Arithmetica
1994/66/1
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Pages:
89-99
Main language of publication
English
Received
1993-05-17
Accepted
1993-08-24
Published
1994
Exact and natural sciences