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On a combinatorial problem of P. Erdös and L. Lovász

✍ Scribed by J. Beck

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
445 KB
Volume
17
Category
Article
ISSN
0012-365X

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Let A=[a 1 , a 2 , ...] N and put A(n)= a i n 1. We say that A is a P-set if no element a i divides the sum of two larger elements. It is proved that for every P-set A with pairwise co-prime elements the inequality A(n)<2n 2Â3 holds for infinitely many n # N. ## 2001 Academic Press where A(n)= a i