Continued Fractions with Partial Quotients Bounded in Average
| dc.creator | Cooper, Joshua N. | |
| dc.date | 2003-10-24 | |
| dc.date | 2006-02-28 | |
| dc.date.accessioned | 2026-07-07T06:35:46Z | |
| dc.date.available | 2026-07-07T06:35:46Z | |
| dc.description | We ask, for which $n$ does there exists a $k$, $1 \leq k < n$ and $(k,n)=1$, so that $k/n$ has a continued fraction whose partial quotients are bounded in average by a constant $B$? This question is intimately connected with several other well-known problems, and we provide a lower bound in the case of B=2. | |
| dc.description | 7 pages, 0 figures; minor changes, to appear in Fibonacci Quarterly | |
| dc.identifier | https://arxiv.org/abs/math/0310383 | |
| dc.identifier | http://arxiv.org/abs/math/0310383 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99895 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11K50; 11K38 | |
| dc.title | Continued Fractions with Partial Quotients Bounded in Average | |
| dc.type | text |