On a coloring conjecture about unit fractions
成果类型：
Article
署名作者：
Croot, ES III
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2003.157.545
发表日期：
2003
页码：
545-556
关键词：
摘要：
We prove an old conjecture of Erdos and Graham on sums of unit fractions: There exists a constant b > 0 such that if we r-color the integers in [2, b(r)], then there exists a monochromatic set S such that Sigma(nis an element ofs) 1/n = 1.