Title of article
Maximal sets of numbers not containing pairwise coprimes and having divisors from a specified set of primes
Author/Authors
Ahlswede، نويسنده , , Rudolf and Blinovsky، نويسنده , , Vladimir، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
8
From page
1621
To page
1628
Abstract
We find the formula for the cardinality of a maximal set of integers from { 1 , … , n } which does not contain k + 1 pairwise coprimes and each integer has a divisor from a specified set of r primes. We also find the explicit formula for this set when r = k + 1 .
Keywords
Greatest common divisor , Squarefree numbers , Coprimes , Number theoretical extremal problems
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2006
Journal title
Journal of Combinatorial Theory Series A
Record number
1531139
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