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Markoff–Rosenberger triples in geometric progression

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Abstract

We study solutions of the Markoff–Rosenberger equation ax 2+by 2+cz 2=dxyz whose coordinates belong to the ring of integers of a number field and form a geometric progression.

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Authors and Affiliations

  1. Departamento de Matemáticas and Instituto de Ciencias Matemáticas (ICMat), Universidad Autónoma de Madrid, Madrid, Spain

    Enrique González-Jiménez

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  1. Enrique González-Jiménez
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Correspondence to Enrique González-Jiménez.

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The author was partially supported by the grant MTM2012–35849.

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González-Jiménez, E. Markoff–Rosenberger triples in geometric progression. Acta Math Hung 142, 231–243 (2014). https://doi.org/10.1007/s10474-013-0351-7

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  • DOI: https://doi.org/10.1007/s10474-013-0351-7

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