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Squares from blocks of consecutive integers: A problem of Erdős and Graham

✍ Scribed by Michael A. Bennett; Ronald Van Luijk

Book ID
113657066
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
141 KB
Volume
23
Category
Article
ISSN
0019-3577

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✍ Yong-Gao Chen 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 102 KB

It is conjectured by Erdős, Graham and Spencer that if 1 a 1 a 2 • • • a s with s i=1 1/a i < n -1/30, then this sum can be decomposed into n parts so that all partial sums are 1. This is not true for s i=1 1/a i = n -1/30 as shown by In 1997, Sándor proved that Erdős-Graham-Spencer conjecture is t