The \(\mathfrak p\)-adic Thue-Siegel-Roth-Schmidt theorem. (English) Zbl 0365.10026


11J61 Approximation in non-Archimedean valuations
11J68 Approximation to algebraic numbers
11J17 Approximation by numbers from a fixed field
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[1] H.Hasse, Zahlentheorie, 3. Aufl. Berlin 1969.
[2] K.Mahler, Lectures on diophantine approximation. Notre Dame University 1961. · Zbl 0158.29903
[3] K. F. Roth, Rational approximations to algebraic numbers. Mathematika2, 1-20 (1955). · Zbl 0064.28501
[4] H. P. Schlickewei, On products of special linear forms with algebraic coefficients. Acta Arith.31, 389-398 (1976). · Zbl 0349.10030
[5] W. M. Schmidt, Simultaneous approximation to algebraic numbers by elements of a number field. Monatsh. Math.79, 55-66 (1975). · Zbl 0317.10042
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