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

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...

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Bibliographic Details
Published inExperimental mathematics Vol. 10; no. 4; pp. 487 - 495
Main Authors Pinner, Christopher G., Wolczuk, Dan
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.01.2001
A K Peters, Ltd
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Summary: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.
ISSN:1058-6458
1944-950X
DOI:10.1080/10586458.2001.10504668