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Ruzsa’s theorem on Erdős and Turán conjecture

✍ Scribed by Yong-Gao Chen; Quan-Hui Yang

Book ID
118275951
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
189 KB
Volume
34
Category
Article
ISSN
0195-6698

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Generalized additive bases, König's lemm
Generalized additive bases, König's lemma, and the Erdős–Turán conjecture
✍ Melvyn B. Nathanson 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 211 KB

Let A be a set of nonnegative integers. For every nonnegative integer n and positive integer h; let r A ðn; hÞ denote the number of representations of n in the form n where a 1 ; a 2 ; y; a h AA and a 1 pa 2 p?pa h : The infinite set A is called a basis of order h if r A ðn; hÞX1 for every nonnegat