Simultaneous approximation to algebraic numbers by elements of a number field |
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Authors: | Prof Dr Wolfgang M Schmidt |
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Institution: | 1. Mathematics Department, University of Colorado, 80302, Boulder, CO, USA
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Abstract: | A special case of the main result is as follows. Given a number fieldK a number ?>0 and real or complex algebraic numbers ξ1,...,ξ n with 1, ξ1,...,ξ n linearly independent overK, there are only finitely many α=(α1,...,α n ) with components inK and with |ξ1,...,α1| whereH(α) is a suitably defined height. |
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