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Continued Fractions with Partial Quotients Bounded in Average
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cooper, Joshua N. |
| Copyright Year | 2003 |
| Abstract | 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0310383v1.pdf |
| Alternate Webpage(s) | http://people.math.sc.edu/cooper/boundedfrac.pdf |
| Alternate Webpage(s) | https://www.fq.math.ca/Papers1/44-4/quartcooper04_2006.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0310383v2.pdf |
| Alternate Webpage(s) | http://www.math.sc.edu/~cooper/boundedfrac.pdf |
| Alternate Webpage(s) | http://www.fq.math.ca/Papers1/44-4/quartcooper04_2006.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0310383v2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
