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On a conjecture of Erdős

✍ Scribed by T. Hessami Pilehrood; K. Hessami Pilehrood

Book ID
110149292
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
518 KB
Volume
83
Category
Article
ISSN
0001-4346

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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