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On a conjecture of Butler and Graham

✍ Scribed by Ma, Tengyu; Sun, Xiaoming; Yu, Huacheng

Book ID
121336845
Publisher
Springer
Year
2012
Tongue
English
Weight
200 KB
Volume
69
Category
Article
ISSN
0925-1022

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It is conjectured by ErdΕ‘s, Graham and Spencer that if 1 a 1 a 2 β€’ β€’ β€’ 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, SΓ‘ndor proved that ErdΕ‘s-Graham-Spencer conjecture is t