Maximal sets of numbers not containing k+1 pairwise coprime integers

• Autorzy: Rudolf Ahlswede , Levon H. Khachatrian
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 72
• Numer: 1
• Strony: 77-100

Daty

wydano

1995

otrzymano

1994-08-26

poprawiono

1994-11-15

Twórcy

autor

Rudolf Ahlswede

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100 131, 33501 Bielefeld, Germany

autor

Levon H. Khachatrian

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100 131, 33501 Bielefeld, Germany

Bibliografia

• [1] R. Ahlswede and L. H. Khachatrian, On extremal sets without coprimes, Acta Arith. 66 (1994), 89-99.
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• [3] A. A. Buchstab, Asymptotische Abschätzungen einer allgemeinen zahlentheoretischen Funktion, Mat. Sb. (N.S.) 44 (1937), 1239-1246.
• [4] P. Erdős, On the density of some sequences of integers, Bull. Amer. Math. Soc. 54 (1948), 685-692.
• [5] P. Erdős, Remarks in number theory IV, Mat. Lapok 13 (1962), 228-255.
• [6] 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.
• [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.
• [8] P. Erdős, A survey of problems in combinatorial number theory, Ann. Discrete Math. 6 (1980), 89-115.
• [9] P. Erdős and A. Sárközy, On sets of coprime integers in intervals, Hardy-Ramanujan J. 16 (1993), 1-20.
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• [11] P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of integers, II, Publ. Math. Debrecen 27 (1980), 117-125.
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• [15] C. Szabó and G. Tóth, Maximal sequences not containing 4 pairwise coprime integers, Mat. Lapok 32 (1985), 253-257 (in Hungarian)