2003/03/01 by Ernest S. Croot · 2 citations
Mathematics · #Limits and Structures in Graph Theory #Advanced Topology and Set Theory #Analytic Number Theory Research
paper · pdf · doi:10.4007/annals.2003.157.545
openalex publication_date 2003/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06
We prove an old conjecture of Erds 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 nS 1/n = 1.