EFFECTIVE RESULTS FOR RESTRICTED RATIONAL APPROXIMATION TO QUADRATIC IRRATIONALS

@article{Bennett2012EFFECTIVERF,
  title={EFFECTIVE RESULTS FOR RESTRICTED RATIONAL APPROXIMATION TO QUADRATIC IRRATIONALS},
  author={Michael A. Bennett and Yann Bugeaud},
  journal={Acta Arithmetica},
  year={2012},
  volume={155},
  pages={259-269}
}
In this paper, we deduce a number of eective lower bounds upon the distance to an integer of quantities of the shape b n , where b and n are integers and is a real quadratic irrational. For certain , we obtain inequalities that approach in strength the corresponding ineective results arising from the p-adic version of Roth's theorem. 
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