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On continued fraction expansions of quadratic irrationals in positive characteristic.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Paulin, Fr'ed'eric Shapira, Uri |
| Copyright Year | 2018 |
| Abstract | Let $P$ be a prime polynomial in the variable $Y$ over a finite field and let $f$ be a quadratic irrational in the field of formal Laurant series in the variable $Y^{-1}$. We study the asymptotic properties of the degrees of the coefficients of the continued fraction expansion of quadratic irrationals such as $P^nf$ and prove results that are in sharp contrast to the analogue situation in zero characteristic. |
| File Format | PDF HTM / HTML |
| DOI | 10.4171/ggd/535 |
| Alternate Webpage(s) | https://www.math.u-psud.fr/~paulin/preprints/Artin4.pdf |
| Alternate Webpage(s) | http://www.newton.ac.uk/files/preprints/ni16059.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1801.10184v1.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1801.10184 |
| Alternate Webpage(s) | https://doi.org/10.4171/ggd%2F535 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
