Sets of integers with pairwise common divisor and a factor from a specified set of primes

Rudolf Ahlswede; Levon H. Khachatrian

Acta Arithmetica (1996)

  • Volume: 75, Issue: 3, page 259-276
  • ISSN: 0065-1036

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Rudolf Ahlswede, and Levon H. Khachatrian. "Sets of integers with pairwise common divisor and a factor from a specified set of primes." Acta Arithmetica 75.3 (1996): 259-276. <http://eudml.org/doc/206876>.

@article{RudolfAhlswede1996,
author = {Rudolf Ahlswede, Levon H. Khachatrian},
journal = {Acta Arithmetica},
keywords = {sets of integers with a factor from a specified set of primes; sets of integers with pairwise common divisor; sets of multiples},
language = {eng},
number = {3},
pages = {259-276},
title = {Sets of integers with pairwise common divisor and a factor from a specified set of primes},
url = {http://eudml.org/doc/206876},
volume = {75},
year = {1996},
}

TY - JOUR
AU - Rudolf Ahlswede
AU - Levon H. Khachatrian
TI - Sets of integers with pairwise common divisor and a factor from a specified set of primes
JO - Acta Arithmetica
PY - 1996
VL - 75
IS - 3
SP - 259
EP - 276
LA - eng
KW - sets of integers with a factor from a specified set of primes; sets of integers with pairwise common divisor; sets of multiples
UR - http://eudml.org/doc/206876
ER -

References

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  1. [1] R. Ahlswede and L. H. Khachatrian, Sets of integers and quasi-integers with pairwise common divisor, Acta Arith. 74 (1996), 141-153. Zbl0870.11014
  2. [2] R. Ahlswede and L. H. Khachatrian, Maximal sets of numbers not containing k + 1 pairwise coprime integers, Acta Arith. 72 (1995), 77-100. Zbl0828.11011
  3. [3] P. Erdős, Problems and results in combinatorial number theory, Chapt. 12 in: A Survey of Combinatorial Theory, J. N. Srivastava et al. (eds.), North-Holland, 1973. 
  4. [4] P. Erdős, A survey of problems in combinatorial number theory, Ann. Discrete Math. 6 (1980), 89-115. Zbl0448.10002
  5. [5] P. Ribenboim, The Little Book of Big Primes, Springer, 1991. Zbl0734.11001
  6. [6] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-89. Zbl0122.05001

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