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

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dc.contributor.authorODJOUMANI, Japhet
dc.contributor.authorTOGBÉ, Alain
dc.contributor.authorZIEGLER, Volker
dc.date.accessioned2026-06-02T16:06:57Z
dc.date.available2026-06-02T16:06:57Z
dc.date.issued2019
dc.description.abstractIn 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.
dc.identifier.otherBECDB-8961
dc.identifier.urihttps://dspace.uac.bj/handle/123456789/8026
dc.language.isofr
dc.relation.ispartofPUBLICATIONES MATHEMATICAE-DEBRECEN
dc.subjectunit sum number problem
dc.subjectpower integral basis
dc.subjectsystem of Pell
dc.subjectequations.
dc.titleOn a family of biquadratic fields that do not admit a unit power integral basis
dc.typeArticle

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