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Rang de l'image du groupe des unités et polynômes lacunaires

Ranieri, Gabriele. (2007) Rang de l'image du groupe des unités et polynômes lacunaires. Acta arithmetica, Vol. 127. pp. 87-96.

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Official URL: http://edoc.unibas.ch/dok/A5262032

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Abstract

Amorosointroduced a new class of number fields, the so-called class of $ PCM $-fields (proche d'un corps $CM$), having interesting arithmetic proprierties. The main result of our work is the proof of the fact that no totally real field is $PCM$. Moreover we show how our proof, in the special case of finite totally real abelian extensions of $mathbb{Q}$, implies a lower bound for the number of non-zero coefficients of polynomials whose certain zeros are roots of $1$.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik
UniBasel Contributors:Ranieri, Gabriele
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Seminarjum matematyczne
ISSN:0065-1036
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:31 Dec 2015 10:46
Deposited On:22 Mar 2012 13:57

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