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Dsets and a Sárközy theorem for countable fields

✍ Scribed by McCutcheon, Randall; Windsor, Alistair

Book ID
125375701
Publisher
The Hebrew University Magnes Press
Year
2014
Tongue
English
Weight
291 KB
Volume
201
Category
Article
ISSN
0021-2172

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On a Problem of Erdős and Sárközy
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✍ Tomasz Schoen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 89 KB

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