On a family of biquadratic fields that do not admit a unit power integral basis

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AuteurODJOUMANI, AYEDJO T A JAPHET
AuteurTOGBE, ALAIN
AuteurZIEGLER, VOLKER
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2019
ResumeIn this paper, we consider the following family of biquadratic fields: K = \mathbb{Q}(\sqrt{18n^2 + 17n + 4},\sqrt{2n^2 + n}), and show that provided that 18n^2 + 17n + 4 and 2n^2 +n are both square-free, K does not admit a power integral basis consisting of units.
Autre identifiantBECDB-8961
URIhttps://dspace.uac.bj/handle/123456789/8026
Languefr
Fait partie dePUBLICATIONES MATHEMATICAE-DEBRECEN
Sujetunit sum number problem
Sujetpower integral basis
Sujetsystem of Pell
Sujetequations
TitreOn a family of biquadratic fields that do not admit a unit power integral basis
TypeArticle

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