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Original Articles

On the Inhomogeneous Hall's Ray of Period-One Quadratics

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Pages 487-495 | Published online: 04 Apr 2012
 

Abstract

For quadratics with period-one negative continued fraction expansions,

we show that the inhomogeneous Lagrange spectrum,

contains an inhomogeneous Hall's ray [0, c(θ)] with

We describe gaps in the spectrum showing that this is essentially best possible. Pictures of computed spectra are included. Investigating such pictures led us to these results.

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