On Unit Fractions with Denominators in Short Intervals
| dc.creator | Croot III, Ernest S. | |
| dc.date | 1999-04-30 | |
| dc.date.accessioned | 2026-07-07T05:28:54Z | |
| dc.date.available | 2026-07-07T05:28:54Z | |
| dc.description | We answer several questions of P. Erdos and R. Graham by showing that for any rational number r > 0, there exist integers n1, n2, ..., nk, k variable, where N < n1 < n2 < ... < nk < (e^r + o_r(1) ) N, such that r = 1/n1 + 1/n2 + ... + 1/nk. Moreover, we obtain the best-possible error term for the o_r(1), which is O_r(loglog N/log N). | |
| dc.description | 19 pages amstex, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9904181 | |
| dc.identifier | http://arxiv.org/abs/math/9904181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78437 | |
| dc.subject | Number Theory | |
| dc.subject | 11Dxx | |
| dc.title | On Unit Fractions with Denominators in Short Intervals | |
| dc.type | text |