Download PDF - Sets of integers and quasi-integers with pairwise common divisorAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Sets of integers and quasi-integers with pairwise common divisor

Authors 1, 1

Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100 131, 33501 Bielefeld, Germany

Bibliography

  1. R. Ahlswede and L. H. Khachatrian, On extremal sets without coprimes, Acta Arith. 66 (1994), 89-99.
  2. R. Ahlswede and L. H. Khachatrian, Maximal sets of numbers not containing k+1 pairwise coprime integers, Acta Arith. 72 (1995), 77-100.
  3. N. G. de Bruijn, On the number of uncancelled elements in the sieve of Eratosthenes, Indag. Math. 12 (1950), 247-256.
  4. P. Erdős, Remarks in number theory, IV, Mat. Lapok 13 (1962), 228-255.
  5. P. Erdős, Extremal problems in number theory, in: Theory of Numbers, Proc. Sympos. Pure Math. 8, Amer. Math. Soc., Providence, R.I., 1965, 181-189.
  6. 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.
  7. P. Erdős, A survey of problems in combinatorial number theory, Ann. Discrete Math. 6 (1980), 89-115.
  8. P. Erdős and A. Sárközy, On sets of coprime integers in intervals, Hardy-Ramanujan J. 16 (1993), 1-20.
  9. P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of integers, Ann. Univ. Sci. Budapest. Eötvös 12 (1969), 131-135.
  10. P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of intergers, II, Publ. Math. Debrecen 27 (1980), 117-125.
  11. R. Freud, Paul Erdős, 80-A personal account, Period. Math. Hungar. 26 (1993), 87-93.
  12. H. Halberstam and K. F. Roth, Sequences, Oxford University Press, 1966; Springer, 1983.
  13. R. R. Hall and G. Tenenbaum, Divisors, Cambridge Tracts in Math. 90, 1988.
  14. J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-89.
  15. C. Szabó and G. Tóth, Maximal sequences not containing 4 pairwise coprime integers, Mat. Lapok 32 (1985), 253-257 (in Hungarian).
Acta Arithmetica
1996/74/2
Export to PBN, Opens in new tab
Pages:
141-153
Main language of publication
English
Received
1995-02-07
Published
1996
Exact and natural sciences