On a coloring conjecture about unit fractions
| dc.creator | Croot III, Ernest S. | |
| dc.date | 2003-11-24 | |
| dc.date.accessioned | 2026-07-07T05:03:13Z | |
| dc.date.available | 2026-07-07T05:03:13Z | |
| dc.description | We prove an old conjecture of Erd{\H o}s 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 $\sum_{n \in S} 1/n=1$. | |
| dc.description | 12 pages published version | |
| dc.identifier | https://arxiv.org/abs/math/0311421 | |
| dc.identifier | http://arxiv.org/abs/math/0311421 | |
| dc.identifier | Ann. of Math. (2), Vol. 157 (2003), no. 2, 545--556 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69323 | |
| dc.subject | Number Theory | |
| dc.subject | 11P99 | |
| dc.title | On a coloring conjecture about unit fractions | |
| dc.type | text |