# 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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