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 mathbbQ, 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 |
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UniBasel Contributors: | Ranieri, Gabriele |
Item Type: | Article, refereed |
Article Subtype: | Research Article |
Publisher: | Seminarjum matematyczne |
ISSN: | 0065-1036 |
Note: | Publication type according to Uni Basel Research Database: Journal article |
Language: | English |
Identification Number: |
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edoc DOI: | |
Last Modified: | 31 Dec 2015 10:46 |
Deposited On: | 22 Mar 2012 13:57 |
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