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Approximation of p-adic numbers by algebraic numbers of bounded degree
Authors:John F. Morrison
Affiliation:Department of Mathematics, University of Maryland, College Park, Maryland 20742 USA
Abstract:The approximation of p-adic numbers by algebraic numbers of bounded degree is studied. Results similar to those obtained by Wirsing and by Davenport and Schmidt in the real case are proved in the p-adic case. Unlike the real case the expected best exponent is not obtained when approximating by quadratic irrationals.
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