Pisot unit generators in number fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00317609" target="_blank" >RIV/68407700:21340/18:00317609 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jsc.2017.11.005" target="_blank" >https://doi.org/10.1016/j.jsc.2017.11.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jsc.2017.11.005" target="_blank" >10.1016/j.jsc.2017.11.005</a>

Result language
angličtina
Original language name
Pisot unit generators in number fields
Original language description
Pisot numbers are real algebraic integers bigger than 1, whose other conjugates all have modulus smaller than 1. In this paper we deal with the algorithmic problem of finding the smallest Pisot unit generating a given number field. We first solve this problem in all real fields, then we consider the analogous problem involving the so called complex Pisot numbers and we solve it in all number fields that admit such a generator, in particular this includes all fields without CM.
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/GA13-03538S" target="_blank" >GA13-03538S: Algorithms, Dynamics and Geometry of Numeration systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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