Pisot unit generators in number fields

Vávra, Tomáš and Veneziano, Francesco. (2018) Pisot unit generators in number fields. Journal of Symbolic Computation, 89. pp. 94-108.

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Official URL: https://edoc.unibas.ch/59501/

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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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)
UniBasel Contributors:Veneziano, Francesco
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:10 Sep 2020 14:10
Deposited On:09 Sep 2020 07:55

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