On partitions of the unit interval generated by Brocot sequences
| dc.creator | Dushistova, Anna | |
| dc.date | 2005-12-27 | |
| dc.date | 2007-12-15 | |
| dc.date.accessioned | 2026-07-07T08:49:07Z | |
| dc.date.available | 2026-07-07T08:49:07Z | |
| dc.description | Let $ p_{i, n}, i=1,..., N(n)=2^{n-1} $ be the lengths of intervals between the neighboring fractions of Brocot sequence $ F_n $. We obtain an asymptotic formula for $σ_β(F_n)=\sum_{i=1}^{N(n)} p_{i, n}^β $,which improves known estimates. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512598 | |
| dc.identifier | http://arxiv.org/abs/math/0512598 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144186 | |
| dc.subject | Number Theory | |
| dc.subject | 11B99 | |
| dc.title | On partitions of the unit interval generated by Brocot sequences | |
| dc.type | text |