Bounds on the period of the continued fraction after a Möbius transformation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F20%3A00336580" target="_blank" >RIV/68407700:21240/20:00336580 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00336580
Result on the web
<a href="https://doi.org/10.1016/j.jnt.2019.10.027" target="_blank" >https://doi.org/10.1016/j.jnt.2019.10.027</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnt.2019.10.027" target="_blank" >10.1016/j.jnt.2019.10.027</a>

Result language
angličtina
Original language name
Bounds on the period of the continued fraction after a Möbius transformation
Original language description
We study Möbius transformations (also known as linear fractional transformations) of quadratic numbers. We construct explicit upper and lower bounds on the period of the continued fraction expansion of a transformed number as a function of the period of the continued fraction expansion of the original number. We provide examples that show that the bound is sharp.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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