1992•Journal de Théorie des Nombres de BordeauxRequires access

On the period length of some special continued fractions

R. A. Mollin, Hywel C Williams

Abstract

We investigate and refine a device which we introduced in [3] for the study of continued fractions. This allows us to more easily compute the period lengths of certain continued fractions and it can be used to suggest some aspects of the cycle structure (see [1]) within the period of certain continued fractions related to underlying real quadratic fields.

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Key concepts: Period (music), Period length, Quadratic equation, Mathematics, Fraction (chemistry), Chemistry, Geometry, Physics