Tong's spectrum for Rosen continued fractions

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The Rosen fractions are an infinite set of continued fraction algorithms, each giving expansions of real numbers in terms of certain algebraic integers. For each, we give a best possible upper bound for the minimum in appropriate consecutive blocks of approximation coefficients (in the sense of Diophantine approximation by continued fraction convergents). We also obtain metrical results for large blocks of ``bad'' approximations.
22 pages, 5 figures

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Number Theory, 11J70; 11K50

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http://salesiana.dossiersoluciones.com/handle/123456789/136624

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3257
 http://arxiv.org/abs/0708.3257

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arXiv